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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 overview
The inversion of the power rule yields for the antiderivative $ F(x)$ of $ f(x)$:
$\displaystyle f(x)$ $\displaystyle =$ $\displaystyle ax^n$  
$\displaystyle F(x)$ $\displaystyle =$ $\displaystyle \frac{a}{n+1}x^{n+1}\qquad \textnormal{for alle} x \in \mathbf{D}\textnormal{, }a=\textnormal{const} \textnormal{, }n \not=-1$  

(Authors: Jahn/Knödler)
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  automatically generated 7/ 8/2004