Mathematics-Online lexicon: Antiderivative

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	Mathematics-Online lexicon:
	Antiderivative

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

A function

with $F^\prime=f$ is a antiderivative of

, one writes

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

for the set of all antiderivatives, called indefinite integral of

. The integration constant

is arbitrary. For example

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

is one possible antiderivative.

Examples:

automatically generated 4/ 7/2008