L17 - Integration Using Integral Tables

L17 - Integration Using Integral Tables - Integral Tables...

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Integral Tables (Section 7.5) Formulas are in the back of the book, starting on pg T-1. “a,b,c” are constants – any real number. Any limitations are written out. (ex. a < 0) Ex. 6 x x 2 dx #48: 2 ax x 2 dx x a 2 2 ax x 2 a 2 2 sin 1 x a a C Ex. dx xx 2 #13(a) dx xa x b 2 b tan 1 ax b b C
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To be more general, formulas can also be given in terms of u and du. With these formulas, you’ll need to find u and du in the problem given. Ex. sec 3 2 x  dx #92 in terms of u: sec n ( u ) du sec n 2 ( u )tan( u ) ( n 1) n 2 n 1 sec n 2 ( u ) du , n 1 #88 in terms of u: sec( u ) du ln sec( u ) tan( u ) C
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Ex. 2 xx ee d x Can this be done by the following formula:  3 1 2 2 (2 3) nn n u a bu du u a bu na u a bu du bn   One of the following formulas is the correct one to use to evaluate 7 e 2 x dx a . a 2 u 2 du u 2 a 2 u 2 a 2 2 sin 1 u a C b . ua 2 u 2 du  1 3 ( a 2 u 2 ) 3/2 C c . a 2 u 2 u du a 2 u 2 ln a a 2 u 2 u C 1. Which formula should you use? ____________
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L17 - Integration Using Integral Tables - Integral Tables...

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