"integral" meaning in English

See integral in All languages combined, or Wiktionary

Adjective

IPA: /ˈɪntɪɡr(ə)l/ [UK], /ɪnˈtɛɡr(ə)l/ [UK], /ˈɪntəɡɹəl/ [US], /ɪnˈtɛɡɹəl/ [US] Audio: en-uk-integral-noun.ogg [UK], en-uk-integral-adjective.ogg [UK] Forms: more integral [comparative], most integral [superlative]
enPR: ĭnʹtĭ-grəl, ĭnʹtə-grəl, ĭn-tĕgʹrəl Etymology: Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer. Etymology templates: {{bor|en|frm|integral}} Middle French integral, {{der|en|ML.|integrālis}} Medieval Latin integrālis, {{der|en|la|integer|t=entire}} Latin integer (“entire”) Head templates: {{en-adj}} integral (comparative more integral, superlative most integral)
  1. Constituting a whole together with other parts or factors; not omittable or removable Synonyms: immanent, inherent, necessary, intrinsic Translations (constituting a whole together with other parts or factors; not omittable or removable): айырылғыһыҙ (ayırılğıhıź) (Bashkir), неразделен (nerazdelen) (Bulgarian), цялостен (cjalosten) (Bulgarian), 完整嘅 (jyun⁴ zing² ge³) (Chinese Cantonese), 完整的 (wánzhěng de) (Chinese Mandarin), nedílný (Czech), integraal (Dutch), integra (Esperanto), olennainen (Finnish), kokonaisuuteen kuuluva (Finnish), integral (German), ein Ganzes ausmachend (German), zur Erhaltung des Ganzen unentbehrlich (english: descriptive) (German), αναπόσπαστος (anapóspastos) (Greek), אִינְטֶגְרָלִי (integráli) (Hebrew), интегралды (integraldy) (Kazakh), интегралдық (integraldyq) (Kazakh), ដែលទាំងស្រុង (dael teang srong) (Khmer), slane (Manx), jednolity (Polish), integralny (Polish), integral (Portuguese), integral (Romanian), неотъе́млемый (neotʺjémlemyj) (Russian), недели́мый (nedelímyj) (Russian), неотдели́мый (neotdelímyj) (Russian), hel (Swedish), enhetlig (Swedish)
    Sense id: en-integral-en-adj-2mBjIkgK Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 14 5 3 3 9 12 16 12 13 14 Disambiguation of 'constituting a whole together with other parts or factors; not omittable or removable': 78 1 0 1 19
  2. (mathematics) Of, pertaining to, or being an integer. Categories (topical): Mathematics Translations (math: of, pertaining to, or being an integer): تَكَامُل (takāmul) [masculine] (Arabic), бөтөн һанлы (bötön hanlı) (Bashkir), celočíselný (Czech), geheel (Dutch), entjera (Esperanto), kokonaisluku- (Finnish), intégral (French), ganzzahlig (German), ακέραιος (akéraios) [masculine] (Greek), интегралды (integraldy) (Kazakh), интегралдық (integraldyq) (Kazakh), slane-earrooagh (Manx), inteiro (Portuguese), integral (Romanian), целочи́сленный (celočíslennyj) (Russian), entero (Spanish), compounds with heltal (Swedish), buumbilangin (Tagalog)
    Sense id: en-integral-en-adj-hypLjVmH Topics: mathematics, sciences Disambiguation of 'math: of, pertaining to, or being an integer': 17 51 14 8 11
  3. (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”). Categories (topical): Mathematics Translations (math: relating to integration): интегрален (integralen) (Bulgarian), integrala (Esperanto), integraali- (Finnish), intégral (French), интегралды (integraldy) (Kazakh), интегралдық (integraldyq) (Kazakh), integral (Spanish)
    Sense id: en-integral-en-adj-W0p7Idnu Topics: mathematics, sciences Disambiguation of 'math: relating to integration': 7 10 72 9 2
  4. (algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A. Categories (topical): Algebra
    Sense id: en-integral-en-adj-JhLlSgIy Topics: algebra, mathematics, sciences
  5. (obsolete) Whole; undamaged. Tags: obsolete
    Sense id: en-integral-en-adj-b6ypeN0u
The following are not (yet) sense-disambiguated
Related terms: integer, integrity, integrous [rare]
Derived forms: integral brick, integral closure, integral cosmology, integral cuboid, integral current, integral curvature, integral curve, integral domain, integral drawing, integral ecology, integral element, integral energy, integral extension, integral fast reactor, integral field unit, integral function, integral geometry, integral graph, integral homology group, integral kernel, integral membrane protein, integral politics, integral polygedron, integral polynomial, integral post-metaphysics, integral psychology, integral transformative practice, integral yoga, integrity, semi-integral

Noun

IPA: /ˈɪntɪɡɹ(ə)l/ [UK], /ˈɪntəɡɹəl/ [US], /ɪnˈtɛɡɹəl/ [US] Forms: integrals [plural]
Etymology: Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer. Etymology templates: {{bor|en|frm|integral}} Middle French integral, {{der|en|ML.|integrālis}} Medieval Latin integrālis, {{der|en|la|integer|t=entire}} Latin integer (“entire”) Head templates: {{en-noun}} integral (plural integrals)
  1. (mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof. Categories (topical): Mathematics, Calculus, Functions
    Sense id: en-integral-en-noun-2y84Ivz~ Disambiguation of Calculus: 5 3 3 3 3 22 22 7 7 24 Disambiguation of Functions: 5 3 3 4 3 22 22 7 6 24 Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup Disambiguation of English entries with incorrect language header: 14 5 3 3 9 12 16 12 13 14 Disambiguation of English entries with topic categories using raw markup: 8 6 3 3 5 13 13 14 16 19 Topics: mathematics, sciences
  2. (mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
    (specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
    Tags: specifically Categories (topical): Mathematics, Calculus, Functions
    Sense id: en-integral-en-noun-ph7r4pW~ Disambiguation of Calculus: 5 3 3 3 3 22 22 7 7 24 Disambiguation of Functions: 5 3 3 4 3 22 22 7 6 24 Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English entries with topic categories using raw markup Disambiguation of English entries with incorrect language header: 14 5 3 3 9 12 16 12 13 14 Disambiguation of English entries with language name categories using raw markup: 10 4 3 3 7 13 23 10 11 15 Disambiguation of English entries with topic categories using raw markup: 8 6 3 3 5 13 13 14 16 19 Topics: mathematics, sciences
  3. (mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign. Categories (topical): Mathematics
    Sense id: en-integral-en-noun-RVlHYzKc Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup Disambiguation of English entries with incorrect language header: 14 5 3 3 9 12 16 12 13 14 Disambiguation of English entries with topic categories using raw markup: 8 6 3 3 5 13 13 14 16 19 Topics: mathematics, sciences
  4. (mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative; Categories (topical): Mathematics Synonyms: antiderivative, indefinite integral,
    Sense id: en-integral-en-noun-ZVvpbXsn Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup Disambiguation of English entries with incorrect language header: 14 5 3 3 9 12 16 12 13 14 Disambiguation of English entries with topic categories using raw markup: 8 6 3 3 5 13 13 14 16 19 Topics: mathematics, sciences
  5. (mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
    (mathematics, historical or obsolete) The fluent of a given fluxion in Newtonian calculus.
    Tags: historical, obsolete Categories (topical): Mathematics, Calculus, Functions Synonyms: antiderivative, indefinite integral,
    Sense id: en-integral-en-noun-33mxjsHp Disambiguation of Calculus: 5 3 3 3 3 22 22 7 7 24 Disambiguation of Functions: 5 3 3 4 3 22 22 7 6 24 Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, English heteronyms Disambiguation of English entries with incorrect language header: 14 5 3 3 9 12 16 12 13 14 Disambiguation of English entries with topic categories using raw markup: 8 6 3 3 5 13 13 14 16 19 Disambiguation of English heteronyms: 12 5 5 2 8 11 15 11 12 19 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Related terms: integer Translations (limit of sums): ինտեգրալ (integral) (Armenian), інтэгра́л (intehrál) [masculine] (Belarusian), интегра́л (integrál) [masculine] (Bulgarian), integració [feminine] (Catalan), 積分 (Chinese Cantonese), 积分 (zik¹ fan¹) (Chinese Cantonese), 積分 (Chinese Mandarin), 积分 (jī fēn) (Chinese Mandarin), integrál [masculine] (Czech), integraal (Dutch), integralo (Esperanto), integro (Esperanto), integraali (Finnish), intégrale [feminine] (French), ინტეგრალი (inṭegrali) (Georgian), Integral [neuter] (German), ολοκλήρωμα (oloklíroma) [neuter] (Greek), chit-fûn-ho̍k (Hakka Chinese), אִינְטֶגְרָל (integrál) [masculine] (Hebrew), אַסְכֶּמֶת (askémet) (english: Academy of the Hebrew Language) [feminine] (Hebrew), integrál (Hungarian), heildun [feminine] (Icelandic), tegrun [feminine] (Icelandic), integrale [masculine] (Italian), 積分 (sekibun) (alt: せきぶん) (Japanese), интеграл (integral) (Kazakh), អាំងតេក្រាល (ʼangteekraal) (Khmer), 적분 (jeokbun) (Korean), интеграл (integral) (Kyrgyz), kamiran (Malay), co-hym [masculine] (Manx), интеграл (integral) (Mongolian), integral [neuter] (Norwegian), całka [feminine] (Polish), całka oznaczona [feminine] (Polish), integral [feminine] (Portuguese), integrală [feminine] (Romanian), интегра́л (intɛgrál) [masculine] (Russian), интѐгра̄л [Cyrillic, masculine] (Serbo-Croatian), intègrāl [Roman, masculine] (Serbo-Croatian), integral [feminine] (Spanish), integral (Sundanese), integral [common-gender] (Swedish), lagom (Tagalog), ปริพันธ์ (Thai), integral (Turkish), інтегра́л (intehrál) [masculine] (Ukrainian), tích phân (Vietnamese)

Inflected forms

Download JSON data for integral meaning in English (36.2kB)

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      "_dis1": "0 0 0 0 0",
      "word": "integral brick"
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      "word": "integral cuboid"
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      "word": "integral current"
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    {
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      "word": "integral curvature"
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    {
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      "word": "integral curve"
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    {
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      "word": "integral domain"
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    {
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      "word": "integral drawing"
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    {
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      "word": "integral ecology"
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    {
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      "word": "integral element"
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    {
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      "word": "integral energy"
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    {
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      "word": "integral extension"
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    {
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      "word": "integral fast reactor"
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    {
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      "word": "integral field unit"
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    {
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      "word": "integral function"
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    {
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      "word": "integral geometry"
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    {
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      "word": "integral graph"
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    {
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      "word": "integral homology group"
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    {
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      "word": "integral kernel"
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    {
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      "word": "integral membrane protein"
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      "word": "integral politics"
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      "word": "integral polygedron"
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      "word": "integral polynomial"
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    {
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      "word": "integral post-metaphysics"
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    {
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      "word": "integral transformative practice"
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      "word": "integral yoga"
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      "word": "integrity"
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      "expansion": "Middle French integral",
      "name": "bor"
    },
    {
      "args": {
        "1": "en",
        "2": "ML.",
        "3": "integrālis"
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      "expansion": "Medieval Latin integrālis",
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    {
      "args": {
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  ],
  "etymology_text": "Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.",
  "forms": [
    {
      "form": "more integral",
      "tags": [
        "comparative"
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    {
      "form": "most integral",
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        "superlative"
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  "lang_code": "en",
  "pos": "adj",
  "related": [
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    {
      "_dis1": "0 0 0 0 0",
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    {
      "_dis1": "0 0 0 0 0",
      "tags": [
        "rare"
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      "word": "integrous"
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  ],
  "senses": [
    {
      "categories": [
        {
          "_dis": "14 5 3 3 9 12 16 12 13 14",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Constituting a whole together with other parts or factors; not omittable or removable"
      ],
      "id": "en-integral-en-adj-2mBjIkgK",
      "links": [
        [
          "Constituting",
          "constitute"
        ],
        [
          "whole",
          "whole"
        ],
        [
          "part",
          "part"
        ],
        [
          "factor",
          "factor"
        ],
        [
          "omittable",
          "omittable"
        ],
        [
          "removable",
          "removable"
        ]
      ],
      "synonyms": [
        {
          "word": "immanent"
        },
        {
          "word": "inherent"
        },
        {
          "word": "necessary"
        },
        {
          "word": "intrinsic"
        }
      ],
      "translations": [
        {
          "_dis1": "78 1 0 1 19",
          "code": "ba",
          "lang": "Bashkir",
          "roman": "ayırılğıhıź",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "айырылғыһыҙ"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "bg",
          "lang": "Bulgarian",
          "roman": "nerazdelen",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "неразделен"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "bg",
          "lang": "Bulgarian",
          "roman": "cjalosten",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "цялостен"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "yue",
          "lang": "Chinese Cantonese",
          "roman": "jyun⁴ zing² ge³",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "完整嘅"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "wánzhěng de",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "完整的"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "cs",
          "lang": "Czech",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "nedílný"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "nl",
          "lang": "Dutch",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "integraal"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "eo",
          "lang": "Esperanto",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "integra"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "fi",
          "lang": "Finnish",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "olennainen"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "fi",
          "lang": "Finnish",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "kokonaisuuteen kuuluva"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "de",
          "lang": "German",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "integral"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "de",
          "lang": "German",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "ein Ganzes ausmachend"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "de",
          "english": "descriptive",
          "lang": "German",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "zur Erhaltung des Ganzen unentbehrlich"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "el",
          "lang": "Greek",
          "roman": "anapóspastos",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "αναπόσπαστος"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "he",
          "lang": "Hebrew",
          "roman": "integráli",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "אִינְטֶגְרָלִי"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "kk",
          "lang": "Kazakh",
          "roman": "integraldy",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "интегралды"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "kk",
          "lang": "Kazakh",
          "roman": "integraldyq",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "интегралдық"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "km",
          "lang": "Khmer",
          "roman": "dael teang srong",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "ដែលទាំងស្រុង"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "gv",
          "lang": "Manx",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "slane"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "pl",
          "lang": "Polish",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "jednolity"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "pl",
          "lang": "Polish",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "integralny"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "integral"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "ro",
          "lang": "Romanian",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "integral"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "ru",
          "lang": "Russian",
          "roman": "neotʺjémlemyj",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "неотъе́млемый"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "ru",
          "lang": "Russian",
          "roman": "nedelímyj",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "недели́мый"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "ru",
          "lang": "Russian",
          "roman": "neotdelímyj",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "неотдели́мый"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "sv",
          "lang": "Swedish",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "hel"
        },
        {
          "_dis1": "78 1 0 1 19",
          "code": "sv",
          "lang": "Swedish",
          "sense": "constituting a whole together with other parts or factors; not omittable or removable",
          "word": "enhetlig"
        }
      ]
    },
    {
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Of, pertaining to, or being an integer."
      ],
      "id": "en-integral-en-adj-hypLjVmH",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
          "integer"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of, pertaining to, or being an integer."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "17 51 14 8 11",
          "code": "ar",
          "lang": "Arabic",
          "roman": "takāmul",
          "sense": "math: of, pertaining to, or being an integer",
          "tags": [
            "masculine"
          ],
          "word": "تَكَامُل"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "ba",
          "lang": "Bashkir",
          "roman": "bötön hanlı",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "бөтөн һанлы"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "cs",
          "lang": "Czech",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "celočíselný"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "nl",
          "lang": "Dutch",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "geheel"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "eo",
          "lang": "Esperanto",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "entjera"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "fi",
          "lang": "Finnish",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "kokonaisluku-"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "fr",
          "lang": "French",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "intégral"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "de",
          "lang": "German",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "ganzzahlig"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "el",
          "lang": "Greek",
          "roman": "akéraios",
          "sense": "math: of, pertaining to, or being an integer",
          "tags": [
            "masculine"
          ],
          "word": "ακέραιος"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "kk",
          "lang": "Kazakh",
          "roman": "integraldy",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "интегралды"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "kk",
          "lang": "Kazakh",
          "roman": "integraldyq",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "интегралдық"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "gv",
          "lang": "Manx",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "slane-earrooagh"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "inteiro"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "ro",
          "lang": "Romanian",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "integral"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "ru",
          "lang": "Russian",
          "roman": "celočíslennyj",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "целочи́сленный"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "es",
          "lang": "Spanish",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "entero"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "sv",
          "lang": "Swedish",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "compounds with heltal"
        },
        {
          "_dis1": "17 51 14 8 11",
          "code": "tl",
          "lang": "Tagalog",
          "sense": "math: of, pertaining to, or being an integer",
          "word": "buumbilangin"
        }
      ]
    },
    {
      "categories": [
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          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Relating to integration (“the process of finding the integral [noun] of a function”)."
      ],
      "id": "en-integral-en-adj-W0p7Idnu",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integration",
          "integration#English"
        ],
        [
          "integral [noun",
          "integral#Noun"
        ],
        [
          "function",
          "function"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Relating to integration (“the process of finding the integral [noun] of a function”)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "7 10 72 9 2",
          "code": "bg",
          "lang": "Bulgarian",
          "roman": "integralen",
          "sense": "math: relating to integration",
          "word": "интегрален"
        },
        {
          "_dis1": "7 10 72 9 2",
          "code": "eo",
          "lang": "Esperanto",
          "sense": "math: relating to integration",
          "word": "integrala"
        },
        {
          "_dis1": "7 10 72 9 2",
          "code": "fi",
          "lang": "Finnish",
          "sense": "math: relating to integration",
          "word": "integraali-"
        },
        {
          "_dis1": "7 10 72 9 2",
          "code": "fr",
          "lang": "French",
          "sense": "math: relating to integration",
          "word": "intégral"
        },
        {
          "_dis1": "7 10 72 9 2",
          "code": "kk",
          "lang": "Kazakh",
          "roman": "integraldy",
          "sense": "math: relating to integration",
          "word": "интегралды"
        },
        {
          "_dis1": "7 10 72 9 2",
          "code": "kk",
          "lang": "Kazakh",
          "roman": "integraldyq",
          "sense": "math: relating to integration",
          "word": "интегралдық"
        },
        {
          "_dis1": "7 10 72 9 2",
          "code": "es",
          "lang": "Spanish",
          "sense": "math: relating to integration",
          "word": "integral"
        }
      ]
    },
    {
      "categories": [
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          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
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            "Formal sciences",
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      ],
      "glosses": [
        "Being the root of some monic polynomial in A."
      ],
      "id": "en-integral-en-adj-JhLlSgIy",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "commutative algebra",
          "commutative algebra"
        ],
        [
          "ring",
          "ring"
        ],
        [
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          "element"
        ],
        [
          "subring",
          "subring"
        ],
        [
          "root",
          "root"
        ],
        [
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          "monic"
        ],
        [
          "polynomial",
          "polynomial"
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      ],
      "qualifier": "commutative algebra",
      "raw_glosses": [
        "(algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A."
      ],
      "raw_tags": [
        "of a ring element in a ring B relative to a subring A"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [],
      "glosses": [
        "Whole; undamaged."
      ],
      "id": "en-integral-en-adj-b6ypeN0u",
      "links": [
        [
          "Whole",
          "whole"
        ],
        [
          "undamaged",
          "undamaged"
        ]
      ],
      "raw_glosses": [
        "(obsolete) Whole; undamaged."
      ],
      "tags": [
        "obsolete"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈɪntɪɡr(ə)l/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ɪnˈtɛɡr(ə)l/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˈɪntəɡɹəl/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ɪnˈtɛɡɹəl/",
      "tags": [
        "US"
      ]
    },
    {
      "audio": "en-uk-integral-noun.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/b/bc/En-uk-integral-noun.ogg/En-uk-integral-noun.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/b/bc/En-uk-integral-noun.ogg",
      "tags": [
        "UK"
      ],
      "text": "Audio (UK)"
    },
    {
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      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/8/85/En-uk-integral-adjective.ogg",
      "tags": [
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    {
      "enpr": "ĭnʹtĭ-grəl"
    },
    {
      "enpr": "ĭnʹtə-grəl"
    },
    {
      "enpr": "ĭn-tĕgʹrəl"
    }
  ],
  "word": "integral"
}

{
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    {
      "_dis1": "0 0 0 0 0",
      "word": "Barnes integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "Choquet integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "contour integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "definite integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "half-integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "Hellinger integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "improper integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "indefinite integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "integral calculus"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "integral equation"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "integral theory"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "integral transform"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "integration"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "iterated integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "Jackson integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "Lebesgue integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "line integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "logarithmic integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "Mellin-Barnes integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "ordered integral domain"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "particular integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "path integral formalism"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "Riemann integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "Riemann-Stieltjes integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "Sugeno integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "surface integral"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "Volterra integral equation"
    },
    {
      "_dis1": "0 0 0 0 0",
      "word": "volume integral"
    }
  ],
  "etymology_templates": [
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      "args": {
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        "2": "frm",
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      "expansion": "Middle French integral",
      "name": "bor"
    },
    {
      "args": {
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        "2": "ML.",
        "3": "integrālis"
      },
      "expansion": "Medieval Latin integrālis",
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    {
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        "2": "la",
        "3": "integer",
        "t": "entire"
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      "expansion": "Latin integer (“entire”)",
      "name": "der"
    }
  ],
  "etymology_text": "Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.",
  "forms": [
    {
      "form": "integrals",
      "tags": [
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      "_dis1": "0 0 0 0 0 0 0 0 0 0",
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    }
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          "text": "The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!",
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        "One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof."
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        "(mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.",
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          "text": "The integral of #x5C;frac#x7B;1#x7D;#x7B;x#x7D; on #x5B;#x5C;frac#x7B;1#x7D;#x7B;2#x7D;,1#x5D; is #x5C;ln(2), but the integral of the same function on (0,1#x5D; diverges. In notation, #x5C;int#x5F;#x5C;frac#x7B;1#x7D;#x7B;2#x7D;¹#x5C;frac#x7B;1#x7D;#x7B;x#x7D;dx#x3D;#x5C;ln(2), but #x5C;int#x5F;0¹#x5C;frac#x7B;1#x7D;#x7B;x#x7D;dx#x3D;#x5C;infty.",
          "type": "example"
        },
        {
          "text": "Stokes' theorem relates the integral over a surface of the curl of a vector field to a line integral around the boundary of that surface: #x5C;int#x5F;S#x5C;nabla#x5C;times#x5C;mathbf#x7B;F#x7D;#x5C;cdotd#x5C;mathbf#x7B;S#x7D;#x3D;#x5C;int#x5F;#x7B;#x5C;partialS#x7D;#x5C;mathbf#x7B;F#x7D;#x5C;cdotd#x5C;mathbf#x7B;r#x7D;,.",
          "type": "example"
        }
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      "glosses": [
        "A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign."
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        "(mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign."
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          "word": "derivative"
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        {
          "text": "The integral of x² is #x5C;frac#x7B;x³#x7D;#x7B;3#x7D; plus a constant.",
          "type": "example"
        }
      ],
      "glosses": [
        "An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;"
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      "id": "en-integral-en-noun-ZVvpbXsn",
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        "(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;"
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          "word": "antiderivative"
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        "(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;",
        "(mathematics, historical or obsolete) The fluent of a given fluxion in Newtonian calculus."
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    {
      "_dis1": "34 34 8 9 15",
      "code": "hy",
      "lang": "Armenian",
      "roman": "integral",
      "sense": "limit of sums",
      "word": "ինտեգրալ"
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      "sense": "limit of sums",
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        "masculine"
      ],
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    {
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    },
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      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
      "word": "integració"
    },
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      "_dis1": "34 34 8 9 15",
      "code": "yue",
      "lang": "Chinese Cantonese",
      "sense": "limit of sums",
      "word": "積分"
    },
    {
      "_dis1": "34 34 8 9 15",
      "code": "yue",
      "lang": "Chinese Cantonese",
      "roman": "zik¹ fan¹",
      "sense": "limit of sums",
      "word": "积分"
    },
    {
      "_dis1": "34 34 8 9 15",
      "code": "hak",
      "lang": "Hakka Chinese",
      "sense": "limit of sums",
      "word": "chit-fûn-ho̍k"
    },
    {
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      "lang": "Chinese Mandarin",
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    },
    {
      "_dis1": "34 34 8 9 15",
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      "lang": "Chinese Mandarin",
      "roman": "jī fēn",
      "sense": "limit of sums",
      "word": "积分"
    },
    {
      "_dis1": "34 34 8 9 15",
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      "lang": "Czech",
      "sense": "limit of sums",
      "tags": [
        "masculine"
      ],
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    },
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      "_dis1": "34 34 8 9 15",
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      "word": "integraal"
    },
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      "_dis1": "34 34 8 9 15",
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      "word": "integralo"
    },
    {
      "_dis1": "34 34 8 9 15",
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      "sense": "limit of sums",
      "word": "integro"
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      "lang": "Finnish",
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    },
    {
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      "lang": "French",
      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
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    {
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      "roman": "inṭegrali",
      "sense": "limit of sums",
      "word": "ინტეგრალი"
    },
    {
      "_dis1": "34 34 8 9 15",
      "code": "de",
      "lang": "German",
      "sense": "limit of sums",
      "tags": [
        "neuter"
      ],
      "word": "Integral"
    },
    {
      "_dis1": "34 34 8 9 15",
      "code": "el",
      "lang": "Greek",
      "roman": "oloklíroma",
      "sense": "limit of sums",
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        "neuter"
      ],
      "word": "ολοκλήρωμα"
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    {
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      "sense": "limit of sums",
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        "masculine"
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      "english": "Academy of the Hebrew Language",
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      "word": "אַסְכֶּמֶת"
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      "alt": "せきぶん",
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    {
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    {
      "_dis1": "34 34 8 9 15",
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    },
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        "feminine"
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      "sense": "limit of sums",
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        "feminine"
      ],
      "word": "całka oznaczona"
    },
    {
      "_dis1": "34 34 8 9 15",
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      "sense": "limit of sums",
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        "feminine"
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      "word": "integral"
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        "feminine"
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      "word": "integrală"
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      "roman": "intɛgrál",
      "sense": "limit of sums",
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        "masculine"
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    {
      "_dis1": "34 34 8 9 15",
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      "_dis1": "34 34 8 9 15",
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        "feminine"
      ],
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    },
    {
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      "word": "ปริพันธ์"
    },
    {
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      "word": "tích phân"
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  "word": "integral"
}
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  "etymology_text": "Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.",
  "forms": [
    {
      "form": "more integral",
      "tags": [
        "comparative"
      ]
    },
    {
      "form": "most integral",
      "tags": [
        "superlative"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "integral (comparative more integral, superlative most integral)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "integer"
    },
    {
      "word": "integrity"
    },
    {
      "tags": [
        "rare"
      ],
      "word": "integrous"
    }
  ],
  "senses": [
    {
      "glosses": [
        "Constituting a whole together with other parts or factors; not omittable or removable"
      ],
      "links": [
        [
          "Constituting",
          "constitute"
        ],
        [
          "whole",
          "whole"
        ],
        [
          "part",
          "part"
        ],
        [
          "factor",
          "factor"
        ],
        [
          "omittable",
          "omittable"
        ],
        [
          "removable",
          "removable"
        ]
      ],
      "synonyms": [
        {
          "word": "immanent"
        },
        {
          "word": "inherent"
        },
        {
          "word": "necessary"
        },
        {
          "word": "intrinsic"
        }
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Of, pertaining to, or being an integer."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
          "integer"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of, pertaining to, or being an integer."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Relating to integration (“the process of finding the integral [noun] of a function”)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integration",
          "integration#English"
        ],
        [
          "integral [noun",
          "integral#Noun"
        ],
        [
          "function",
          "function"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Relating to integration (“the process of finding the integral [noun] of a function”)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Algebra"
      ],
      "glosses": [
        "Being the root of some monic polynomial in A."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "commutative algebra",
          "commutative algebra"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "element",
          "element"
        ],
        [
          "subring",
          "subring"
        ],
        [
          "root",
          "root"
        ],
        [
          "monic",
          "monic"
        ],
        [
          "polynomial",
          "polynomial"
        ]
      ],
      "qualifier": "commutative algebra",
      "raw_glosses": [
        "(algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A."
      ],
      "raw_tags": [
        "of a ring element in a ring B relative to a subring A"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with obsolete senses"
      ],
      "glosses": [
        "Whole; undamaged."
      ],
      "links": [
        [
          "Whole",
          "whole"
        ],
        [
          "undamaged",
          "undamaged"
        ]
      ],
      "raw_glosses": [
        "(obsolete) Whole; undamaged."
      ],
      "tags": [
        "obsolete"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈɪntɪɡr(ə)l/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ɪnˈtɛɡr(ə)l/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˈɪntəɡɹəl/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ɪnˈtɛɡɹəl/",
      "tags": [
        "US"
      ]
    },
    {
      "audio": "en-uk-integral-noun.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/b/bc/En-uk-integral-noun.ogg/En-uk-integral-noun.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/b/bc/En-uk-integral-noun.ogg",
      "tags": [
        "UK"
      ],
      "text": "Audio (UK)"
    },
    {
      "audio": "en-uk-integral-adjective.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/8/85/En-uk-integral-adjective.ogg/En-uk-integral-adjective.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/8/85/En-uk-integral-adjective.ogg",
      "tags": [
        "UK"
      ],
      "text": "Audio (UK)"
    },
    {
      "enpr": "ĭnʹtĭ-grəl"
    },
    {
      "enpr": "ĭnʹtə-grəl"
    },
    {
      "enpr": "ĭn-tĕgʹrəl"
    }
  ],
  "translations": [
    {
      "code": "ba",
      "lang": "Bashkir",
      "roman": "ayırılğıhıź",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "айырылғыһыҙ"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "nerazdelen",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "неразделен"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "cjalosten",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "цялостен"
    },
    {
      "code": "yue",
      "lang": "Chinese Cantonese",
      "roman": "jyun⁴ zing² ge³",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "完整嘅"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "wánzhěng de",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "完整的"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "nedílný"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "integraal"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "integra"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "olennainen"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "kokonaisuuteen kuuluva"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "integral"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "ein Ganzes ausmachend"
    },
    {
      "code": "de",
      "english": "descriptive",
      "lang": "German",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "zur Erhaltung des Ganzen unentbehrlich"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "anapóspastos",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "αναπόσπαστος"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "roman": "integráli",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "אִינְטֶגְרָלִי"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "integraldy",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "интегралды"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "integraldyq",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "интегралдық"
    },
    {
      "code": "km",
      "lang": "Khmer",
      "roman": "dael teang srong",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "ដែលទាំងស្រុង"
    },
    {
      "code": "gv",
      "lang": "Manx",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "slane"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "jednolity"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "integralny"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "integral"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "integral"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "neotʺjémlemyj",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "неотъе́млемый"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "nedelímyj",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "недели́мый"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "neotdelímyj",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "неотдели́мый"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "hel"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "constituting a whole together with other parts or factors; not omittable or removable",
      "word": "enhetlig"
    },
    {
      "code": "ar",
      "lang": "Arabic",
      "roman": "takāmul",
      "sense": "math: of, pertaining to, or being an integer",
      "tags": [
        "masculine"
      ],
      "word": "تَكَامُل"
    },
    {
      "code": "ba",
      "lang": "Bashkir",
      "roman": "bötön hanlı",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "бөтөн һанлы"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "celočíselný"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "geheel"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "entjera"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "kokonaisluku-"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "intégral"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "ganzzahlig"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "akéraios",
      "sense": "math: of, pertaining to, or being an integer",
      "tags": [
        "masculine"
      ],
      "word": "ακέραιος"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "integraldy",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "интегралды"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "integraldyq",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "интегралдық"
    },
    {
      "code": "gv",
      "lang": "Manx",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "slane-earrooagh"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "inteiro"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "integral"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "celočíslennyj",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "целочи́сленный"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "entero"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "compounds with heltal"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "math: of, pertaining to, or being an integer",
      "word": "buumbilangin"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "integralen",
      "sense": "math: relating to integration",
      "word": "интегрален"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "math: relating to integration",
      "word": "integrala"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "math: relating to integration",
      "word": "integraali-"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "math: relating to integration",
      "word": "intégral"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "integraldy",
      "sense": "math: relating to integration",
      "word": "интегралды"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "integraldyq",
      "sense": "math: relating to integration",
      "word": "интегралдық"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "math: relating to integration",
      "word": "integral"
    }
  ],
  "word": "integral"
}

{
  "categories": [
    "English 3-syllable words",
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English entries with language name categories using raw markup",
    "English entries with topic categories using raw markup",
    "English heteronyms",
    "English lemmas",
    "English nouns",
    "English terms borrowed from Middle French",
    "English terms derived from Latin",
    "English terms derived from Medieval Latin",
    "English terms derived from Middle French",
    "English terms with IPA pronunciation",
    "English terms with audio links",
    "Requests for review of Hungarian translations",
    "Requests for review of Manx translations",
    "en:Calculus",
    "en:Functions"
  ],
  "derived": [
    {
      "word": "Barnes integral"
    },
    {
      "word": "Choquet integral"
    },
    {
      "word": "contour integral"
    },
    {
      "word": "definite integral"
    },
    {
      "word": "half-integral"
    },
    {
      "word": "Hellinger integral"
    },
    {
      "word": "improper integral"
    },
    {
      "word": "indefinite integral"
    },
    {
      "word": "integral calculus"
    },
    {
      "word": "integral equation"
    },
    {
      "word": "integral theory"
    },
    {
      "word": "integral transform"
    },
    {
      "word": "integration"
    },
    {
      "word": "iterated integral"
    },
    {
      "word": "Jackson integral"
    },
    {
      "word": "Lebesgue integral"
    },
    {
      "word": "line integral"
    },
    {
      "word": "logarithmic integral"
    },
    {
      "word": "Mellin-Barnes integral"
    },
    {
      "word": "ordered integral domain"
    },
    {
      "word": "particular integral"
    },
    {
      "word": "path integral formalism"
    },
    {
      "word": "Riemann integral"
    },
    {
      "word": "Riemann-Stieltjes integral"
    },
    {
      "word": "Sugeno integral"
    },
    {
      "word": "surface integral"
    },
    {
      "word": "Volterra integral equation"
    },
    {
      "word": "volume integral"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "frm",
        "3": "integral"
      },
      "expansion": "Middle French integral",
      "name": "bor"
    },
    {
      "args": {
        "1": "en",
        "2": "ML.",
        "3": "integrālis"
      },
      "expansion": "Medieval Latin integrālis",
      "name": "der"
    },
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "integer",
        "t": "entire"
      },
      "expansion": "Latin integer (“entire”)",
      "name": "der"
    }
  ],
  "etymology_text": "Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.",
  "forms": [
    {
      "form": "integrals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "integral (plural integrals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "integer"
    }
  ],
  "senses": [
    {
      "categories": [
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!",
          "type": "example"
        }
      ],
      "glosses": [
        "One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "operations",
          "operations"
        ],
        [
          "calculus",
          "calculus"
        ],
        [
          "differentiation",
          "differentiation"
        ],
        [
          "function",
          "function"
        ],
        [
          "displacement",
          "displacement"
        ],
        [
          "area",
          "area"
        ],
        [
          "volume",
          "volume"
        ],
        [
          "infinitesimal",
          "infinitesimal"
        ],
        [
          "limiting",
          "limit"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "partial sum",
          "partial sum"
        ],
        [
          "long s",
          "long s"
        ],
        [
          "∫",
          "∫"
        ]
      ],
      "raw_glosses": [
        "(mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "glosses": [
        "One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.",
        "Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "operations",
          "operations"
        ],
        [
          "calculus",
          "calculus"
        ],
        [
          "differentiation",
          "differentiation"
        ],
        [
          "function",
          "function"
        ],
        [
          "displacement",
          "displacement"
        ],
        [
          "area",
          "area"
        ],
        [
          "volume",
          "volume"
        ],
        [
          "infinitesimal",
          "infinitesimal"
        ],
        [
          "limiting",
          "limit"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "partial sum",
          "partial sum"
        ],
        [
          "long s",
          "long s"
        ],
        [
          "∫",
          "∫"
        ],
        [
          "analytic",
          "analysis"
        ],
        [
          "formalization",
          "formalization"
        ],
        [
          "Riemann integral",
          "Riemann integral"
        ],
        [
          "Lebesgue integral",
          "Lebesgue integral"
        ]
      ],
      "raw_glosses": [
        "(mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.",
        "(specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc."
      ],
      "tags": [
        "specifically"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The integral of #x5C;frac#x7B;1#x7D;#x7B;x#x7D; on #x5B;#x5C;frac#x7B;1#x7D;#x7B;2#x7D;,1#x5D; is #x5C;ln(2), but the integral of the same function on (0,1#x5D; diverges. In notation, #x5C;int#x5F;#x5C;frac#x7B;1#x7D;#x7B;2#x7D;¹#x5C;frac#x7B;1#x7D;#x7B;x#x7D;dx#x3D;#x5C;ln(2), but #x5C;int#x5F;0¹#x5C;frac#x7B;1#x7D;#x7B;x#x7D;dx#x3D;#x5C;infty.",
          "type": "example"
        },
        {
          "text": "Stokes' theorem relates the integral over a surface of the curl of a vector field to a line integral around the boundary of that surface: #x5C;int#x5F;S#x5C;nabla#x5C;times#x5C;mathbf#x7B;F#x7D;#x5C;cdotd#x5C;mathbf#x7B;S#x7D;#x3D;#x5C;int#x5F;#x7B;#x5C;partialS#x7D;#x5C;mathbf#x7B;F#x7D;#x5C;cdotd#x5C;mathbf#x7B;r#x7D;,.",
          "type": "example"
        }
      ],
      "glosses": [
        "A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "definite integral",
          "definite integral"
        ],
        [
          "application",
          "application"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "number",
          "number"
        ],
        [
          "positive",
          "positive"
        ],
        [
          "negative",
          "negative"
        ],
        [
          "infinity",
          "infinity"
        ],
        [
          "finite",
          "finite"
        ],
        [
          "converge",
          "converge"
        ],
        [
          "diverge",
          "diverge"
        ],
        [
          "interval",
          "interval"
        ],
        [
          "integrand",
          "integrand"
        ],
        [
          "differential form",
          "differential form"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "antonyms": [
        {
          "word": "derivative"
        }
      ],
      "categories": [
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The integral of x² is #x5C;frac#x7B;x³#x7D;#x7B;3#x7D; plus a constant.",
          "type": "example"
        }
      ],
      "glosses": [
        "An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "indefinite integral",
          "indefinite integral"
        ],
        [
          "indefinite",
          "indefinite"
        ],
        [
          "antiderivative",
          "antiderivative"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;"
      ],
      "synonyms": [
        {
          "word": "antiderivative"
        },
        {
          "word": "indefinite integral"
        },
        {
          "word": "∫"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "antonyms": [
        {
          "word": "derivative"
        }
      ],
      "categories": [
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "glosses": [
        "An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;",
        "The fluent of a given fluxion in Newtonian calculus."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "indefinite integral",
          "indefinite integral"
        ],
        [
          "indefinite",
          "indefinite"
        ],
        [
          "antiderivative",
          "antiderivative"
        ],
        [
          "fluent",
          "fluent"
        ],
        [
          "fluxion",
          "fluxion"
        ],
        [
          "Newtonian",
          "Newtonian"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;",
        "(mathematics, historical or obsolete) The fluent of a given fluxion in Newtonian calculus."
      ],
      "synonyms": [
        {
          "word": "antiderivative"
        },
        {
          "word": "indefinite integral"
        },
        {
          "word": "∫"
        }
      ],
      "tags": [
        "historical",
        "obsolete"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈɪntɪɡɹ(ə)l/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˈɪntəɡɹəl/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ɪnˈtɛɡɹəl/",
      "tags": [
        "US"
      ]
    }
  ],
  "translations": [
    {
      "code": "hy",
      "lang": "Armenian",
      "roman": "integral",
      "sense": "limit of sums",
      "word": "ինտեգրալ"
    },
    {
      "code": "be",
      "lang": "Belarusian",
      "roman": "intehrál",
      "sense": "limit of sums",
      "tags": [
        "masculine"
      ],
      "word": "інтэгра́л"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "integrál",
      "sense": "limit of sums",
      "tags": [
        "masculine"
      ],
      "word": "интегра́л"
    },
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
      "word": "integració"
    },
    {
      "code": "yue",
      "lang": "Chinese Cantonese",
      "sense": "limit of sums",
      "word": "積分"
    },
    {
      "code": "yue",
      "lang": "Chinese Cantonese",
      "roman": "zik¹ fan¹",
      "sense": "limit of sums",
      "word": "积分"
    },
    {
      "code": "hak",
      "lang": "Hakka Chinese",
      "sense": "limit of sums",
      "word": "chit-fûn-ho̍k"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "limit of sums",
      "word": "積分"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "jī fēn",
      "sense": "limit of sums",
      "word": "积分"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "limit of sums",
      "tags": [
        "masculine"
      ],
      "word": "integrál"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "limit of sums",
      "word": "integraal"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "limit of sums",
      "word": "integralo"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "limit of sums",
      "word": "integro"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "limit of sums",
      "word": "integraali"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
      "word": "intégrale"
    },
    {
      "code": "ka",
      "lang": "Georgian",
      "roman": "inṭegrali",
      "sense": "limit of sums",
      "word": "ინტეგრალი"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "limit of sums",
      "tags": [
        "neuter"
      ],
      "word": "Integral"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "oloklíroma",
      "sense": "limit of sums",
      "tags": [
        "neuter"
      ],
      "word": "ολοκλήρωμα"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "roman": "integrál",
      "sense": "limit of sums",
      "tags": [
        "masculine"
      ],
      "word": "אִינְטֶגְרָל"
    },
    {
      "code": "he",
      "english": "Academy of the Hebrew Language",
      "lang": "Hebrew",
      "roman": "askémet",
      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
      "word": "אַסְכֶּמֶת"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "limit of sums",
      "word": "integrál"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
      "word": "heildun"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
      "word": "tegrun"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "limit of sums",
      "tags": [
        "masculine"
      ],
      "word": "integrale"
    },
    {
      "alt": "せきぶん",
      "code": "ja",
      "lang": "Japanese",
      "roman": "sekibun",
      "sense": "limit of sums",
      "word": "積分"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "integral",
      "sense": "limit of sums",
      "word": "интеграл"
    },
    {
      "code": "km",
      "lang": "Khmer",
      "roman": "ʼangteekraal",
      "sense": "limit of sums",
      "word": "អាំងតេក្រាល"
    },
    {
      "code": "ko",
      "lang": "Korean",
      "roman": "jeokbun",
      "sense": "limit of sums",
      "word": "적분"
    },
    {
      "code": "ky",
      "lang": "Kyrgyz",
      "roman": "integral",
      "sense": "limit of sums",
      "word": "интеграл"
    },
    {
      "code": "ms",
      "lang": "Malay",
      "sense": "limit of sums",
      "word": "kamiran"
    },
    {
      "code": "gv",
      "lang": "Manx",
      "sense": "limit of sums",
      "tags": [
        "masculine"
      ],
      "word": "co-hym"
    },
    {
      "code": "mn",
      "lang": "Mongolian",
      "roman": "integral",
      "sense": "limit of sums",
      "word": "интеграл"
    },
    {
      "code": "no",
      "lang": "Norwegian",
      "sense": "limit of sums",
      "tags": [
        "neuter"
      ],
      "word": "integral"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
      "word": "całka"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
      "word": "całka oznaczona"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
      "word": "integral"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
      "word": "integrală"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "intɛgrál",
      "sense": "limit of sums",
      "tags": [
        "masculine"
      ],
      "word": "интегра́л"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "limit of sums",
      "tags": [
        "Cyrillic",
        "masculine"
      ],
      "word": "интѐгра̄л"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "limit of sums",
      "tags": [
        "Roman",
        "masculine"
      ],
      "word": "intègrāl"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "limit of sums",
      "tags": [
        "feminine"
      ],
      "word": "integral"
    },
    {
      "code": "su",
      "lang": "Sundanese",
      "sense": "limit of sums",
      "word": "integral"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "limit of sums",
      "tags": [
        "common-gender"
      ],
      "word": "integral"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "limit of sums",
      "word": "lagom"
    },
    {
      "code": "th",
      "lang": "Thai",
      "sense": "limit of sums",
      "word": "ปริพันธ์"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "limit of sums",
      "word": "integral"
    },
    {
      "code": "uk",
      "lang": "Ukrainian",
      "roman": "intehrál",
      "sense": "limit of sums",
      "tags": [
        "masculine"
      ],
      "word": "інтегра́л"
    },
    {
      "code": "vi",
      "lang": "Vietnamese",
      "sense": "limit of sums",
      "word": "tích phân"
    }
  ],
  "wikipedia": [
    "integral"
  ],
  "word": "integral"
}
{
  "called_from": "translations/324",
  "msg": "possible sense number in translation item: Hungarian: __IGNORE__ (2)",
  "path": [
    "integral"
  ],
  "section": "English",
  "subsection": "adjective",
  "title": "integral",
  "trace": ""
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.