"fundamental theorem of calculus" meaning in English

See fundamental theorem of calculus in All languages combined, or Wiktionary

Proper name

Forms: the fundamental theorem of calculus [canonical]
Head templates: {{en-prop|def=1}} the fundamental theorem of calculus
  1. A theorem of calculus consisting of two parts:
    For a continuous function f, an antiderivative or indefinite integral of F can be obtained as the integral of f over an interval with a variable upper bound, or: F(x)=∫ₐˣf(t),dt.
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  2. A theorem of calculus consisting of two parts:
    The definite integral of a continuous function f over a closed interval [a,,b] is equal to the net change of any antiderivative F over [a,,b], or: ∫ₐᵇf(x),dx=F(b)-F(a).
    Sense id: en-fundamental_theorem_of_calculus-en-name-w30ZY~GC Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Asturian translations, Terms with Bulgarian translations, Terms with Catalan translations, Terms with French translations, Terms with Galician translations, Terms with Italian translations, Terms with Portuguese translations, Terms with Spanish translations Disambiguation of English entries with incorrect language header: 52 48 Disambiguation of Entries with translation boxes: 53 47 Disambiguation of Pages with 1 entry: 50 50 Disambiguation of Pages with entries: 51 49 Disambiguation of Terms with Asturian translations: 46 54 Disambiguation of Terms with Bulgarian translations: 51 49 Disambiguation of Terms with Catalan translations: 51 49 Disambiguation of Terms with French translations: 52 48 Disambiguation of Terms with Galician translations: 51 49 Disambiguation of Terms with Italian translations: 46 54 Disambiguation of Terms with Portuguese translations: 51 49 Disambiguation of Terms with Spanish translations: 52 48
The following are not (yet) sense-disambiguated
Related terms: divergence theorem, Green's theorem, Stokes' theorem Translations (theorem): teorema fundamental del cálculu [masculine] (Asturian), основна теорема на интегралното смятане (osnovna teorema na integralnoto smjatane) [feminine] (Bulgarian), teorema fonamental del càlcul [masculine] (Catalan), théorème fondamental de l'analyse [masculine] (French), théorème fondamental du calcul différentiel et intégral [masculine] (French), teorema fundamental do cálculo [masculine] (Galician), teorema fondamentale del calcolo integrale [masculine] (Italian), teorema fundamental do cálculo [masculine] (Portuguese), teorema fundamental del cálculo [masculine] (Spanish)
Disambiguation of 'theorem': 50 50
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-07-20 from the enwiktionary dump dated 2025-07-01 using wiktextract (45c4a21 and f1c2b61). 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.

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