fundamental theorem of calculus (English, name)
expansion: the fundamental theorem of calculus
Senses:
glosses: 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.
glosses: 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:
form: the fundamental theorem of calculus
tags: canonical