fundamental theorem of calculus

proper noun

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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Meanings

proper nounthe fundamental theorem of calculus
  1. A theorem of calculus consisting of two parts:
    1. 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. 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).

Translations

Bulgarian основна теорема на интегралното смятане
  • основна теорема на интегралното смятане (osnovna teorema na integralnoto smjatane)theorem
Catalan teorema fonamental del càlcul
  • teorema fonamental del càlcultheorem
French théorème fondamental de l'analyse, théorème fondamental du calcul différentiel et intégral
  • théorème fondamental de l'analysetheorem
  • théorème fondamental du calcul différentiel et intégraltheorem
Italian teorema fondamentale del calcolo integrale
  • teorema fondamentale del calcolo integraletheorem
Portuguese teorema fundamental do cálculo
  • teorema fundamental do cálculotheorem
Spanish teorema fundamental del cálculo
  • teorema fundamental del cálculotheorem
Cite this entry
APA

fundamental theorem of calculus. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/fundamental%20theorem%20of%20calculus

MLA

“fundamental theorem of calculus.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/fundamental%20theorem%20of%20calculus. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “fundamental theorem of calculus,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/fundamental%20theorem%20of%20calculus.

Source: fundamental theorem of calculus on Wiktionary, CC BY-SA 4.0.