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Antiderivative

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A function $ F$ with $ F^\prime=f$ is a antiderivative of $ f$ , one writes

$\displaystyle \int f(x)\,dx = F(x) + c $

for the set of all antiderivatives, called indefinite integral of $ f$ . The integration constant $ c$ is arbitrary. For example

$\displaystyle F_a(x) = \int_a^x f(t)\,dt $

is one possible antiderivative.

see also:

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  automatically generated 4/ 7/2008