PP 8.1_1 - Techniques of Integration We already have a list...

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Techniques of Integration We already have a list of basic integration formulas learned in Calculus I. We want to create new tools to evaluate the integrals of more complicated functions using those formulas. Please, memorize the formulas on page 488 of the textbook.
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Integration by Parts
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Integration by parts is used to integrate products of functions. The formula is derived from the product rule for derivatives: + = ) ( ) ( ) ( ) ( )] ( ) ( [ x g dx d x f x g x f dx d x g x f dx d dx x g dx d x f x g x f dx d x g x f + = ) ( ) ( ) ( ) ( ) ( ) (
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= = - = - = = - ) ( and ) ( where , OR ) ( ) ( ) ( ) ( ) ( ) ( OR ) ( ) ( ) ( ) ( ) ( ) ( x v v x u u vdu uv udv dx x f x g x g x f dx x g x f dx x g x f dx d dx x g dx d x f x g x f
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Examples -
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This note was uploaded on 01/21/2011 for the course PHYS 4A 60865 taught by Professor L. oldewurtel during the Fall '09 term at Irvine Valley College.

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PP 8.1_1 - Techniques of Integration We already have a list...

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