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Mathematics-Online course: Preparatory Course Mathematics - Analysis - Integral Calculus

Fundamental Theorem of Integral Calculus

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If $ F$ is a primitive of a continuous function $ f$ $ \left(f=F^\prime\right)$ , then it is

$\displaystyle \int_a^b f(x)\,dx = F(b) - F(a) $

which is commonly abbreviated as

$\displaystyle \int_a^b f = \left[ F \right]_a^b \,. $

A definite integral can thus be calculated as the difference of the primitive's values at the interval's boundary points.
(Authors: Höllig/Hörner/Abele)

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  automatically generated 1/9/2017