Dictionary

fundamental theorem of calculus en · PROPN

Meanings

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.
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).

Forms

Relateds

Green's theorem · Stokes' theorem · divergence theorem

Translations (9)

fr théorème fondamental de l'analyse (theorem) · fr théorème fondamental du calcul différentiel et intégral (theorem) · ast teorema fundamental del cálculu (theorem) · bg основна теорема на интегралното смятане (theorem) · it teorema fondamentale del calcolo integrale (theorem) · es teorema fundamental del cálculo (theorem) · pt teorema fundamental do cálculo (theorem) · ca teorema fonamental del càlcul (theorem) · gl teorema fundamental do cálculo (theorem)