chap7sec1

chap7sec1 - 7.1 Integration by Parts Review the integrals...

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7.1 Integration by Parts Review the integrals shown on page 469 and integration by substitution. Examples: 1 () ( s i n) ( c o s) x x e e ad xb x x + ∫∫ d x Remember - integration is done by various techniques and is not as straightforward as differentiation. Typically, selecting the proper technique i s the mo s t d i f f i cu l t a spe c t o f integration. Large numbers of practice problems is the best solution to the difficulty you may encounter. The integration rule that corresponds to the product rule for differentiation is integration by parts. INTEGRATION BY PARTS. udv uv vdu =− OBJECT: select a substitution that yields a simpler integral. GENERALLY: select u = f(x) to be a function that becomes simpler when differentiated (or at least not more complicated). Examples (Note Example 2 on page 471) c o s x ax x d bx e d x x
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HINTS: 1. You must be able to integrate
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This note was uploaded on 01/20/2012 for the course MATH 2057 taught by Professor Estrada during the Fall '08 term at LSU.

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chap7sec1 - 7.1 Integration by Parts Review the integrals...

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