Mathematics-Online lexicon: Integration by Parts

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	Mathematics-Online lexicon:
	Integration by Parts

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

From the power rule

one obtain an analogous formula for indefinite integrals:

$\displaystyle \int f'(x)g(x)dx=f(x)g(x)- \int f(x)g'(x)dx \;.$

According to definite integrals holds:

$\displaystyle \int_a^b f'g = \left. fg \right\vert _a^b - \int_a^b fg' \;.$

see also:

automatically generated 4/ 8/2008