Chap 7 - MATH 1014 3.0 W2013 APPLIED CALCULUS I SECTION P Stewart Chapter 7 Techniques of Integration Integration is not as straightforward as

Chap 7 - MATH 1014 3.0 W2013 APPLIED CALCULUS I SECTION P...

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MATH 1014 3.0 W2013 APPLIED CALCULUS I - SECTION P Stewart Chapter 7 Techniques of Integration Integration 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 Parts Every differentiation rule has a corresponding integration rule. Integration by parts is the “inverse” of the product rule. (1) Integrating this statement gives or 2) 1 [ ] ( ) ( ) ( ) '( ) ( ) '( ) d f x g x f x g x g x f x dx = + ( ) '( ) ( ) ( ) ( ) '( ) f x g x dx f x g x g x f x dx = - u dv uv v du = -
g ( x ) = 2
. 3
dt
5
6
x 7
SINE & COSINE INTEGRALS (CAN BE USEFUL) 8

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