English Explanatory Dictionary

fundamental theorem of calculus

English dictionary entry

Meanings

name
  1. A theorem of calculus consisting of two parts:
  2. 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.
  3. 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).

Word forms

fundamental theorem of calculus the fundamental theorem of calculus

Related words

divergence theorem Green's theorem Stokes' theorem

Translations

Asturian: teorema fundamental del cálculu Bulgarian: основна теорема на интегралното смятане Catalan: teorema fonamental del càlcul French: théorème fondamental de l'analyse French: théorème fondamental du calcul différentiel et intégral Galician: teorema fundamental do cálculo Italian: teorema fondamentale del calcolo integrale Portuguese: teorema fundamental do cálculo Spanish: teorema fundamental del cálculo
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