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Mathematics-Online lexicon:

ln-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

A special form of the reversed chain rule is the ln-Rule.

The function

$\displaystyle f(x)=\frac{g'(x)}{g(x)}
$

has the antiderivative

$\displaystyle F(x)=\ln\vert g(x)\vert.
$

(Authors: Jahn/Knödler)

Example:


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  automatically generated 7/ 8/2004