100%(2)2 out of 2 people found this document helpful
This preview shows page 1 - 10 out of 50 pages.
MATH 1014 3.0 W2013 APPLIED CALCULUS I - SECTION PStewart Chapter 7 Techniques of IntegrationIntegration is not as straightforward as differentiation. There are no rules that absolutely guarantee obtaining an indefinite integral of a function. Hence various techniques which MAY work in appropriate cases. Note the short Table of Integrals at the back of the text, or Google "tables of integrals". 7.1 Integration by PartsEvery differentiation rule has a corresponding integration rule. Integration by parts is the “inverse” of the product rule.(1)Integrating this statement givesor2)1( ) ( )( )'( )( )'( )df x g xf x gxg x fxdx=+( )'( )( )( )( )'( )fx gx dxf x g xg x fx dx=-∫∫u dvuvv du=-∫∫