Mathematics-Online lexicon: Inverse Power Rule

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	Mathematics-Online lexicon:
	Inverse Power Rule

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

The inversion of the power rule yields for the antiderivative

$\displaystyle f(x)$	$\displaystyle =$	$\displaystyle ax^n$
$\displaystyle F(x)$	$\displaystyle =$	$\displaystyle \frac{a}{n+1}x^{n+1}\qquad \textnormal{for alle} x \in \mathbf{D}\textnormal{, }a=\textnormal{const} \textnormal{, }n \not=-1$

(Authors: Jahn/Knödler)

Example:

automatically generated 7/ 8/2004