fundamental theorem of calculus

短语

词形变化

the fundamental theorem of calculus

释义与例句

name
  1. 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. 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).