Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
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 overview
From the power rule $ (fg)'=f'g+fg'$ 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' \;. $

[Examples] [Links]
  automatically generated 4/ 8/2008