prob3intparts - Math 151 Spring 2008 Geveci Problem Set 3 Integration by Parts Starred Problems are due on Friday February 8 In problems 1-13 determine

# prob3intparts - Math 151 Spring 2008 Geveci Problem Set 3...

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Math 151 Spring 2008 Geveci Problem Set # 3 Integration by Parts Starred Problems are due on Friday, February 8 In problems 1-13, determine the inde fi nite integral: 1*. Z xe 2 x dx 2. Z x 2 e x/ 3 dx 3. Z x cos μ 1 2 x dx 4*. Z x 2 sin μ 1 4 x dx 5*. Z x sinh ( x ) dx 6. Z x 2 cosh ( x ) dx 7*. Z arccos( x ) dx 8. Z arctan( x/ 2) dx 9. Z x 2 ln ( x ) dx 10*. Z ln( x ) x 1 / 3 dx 11. Z e x sin ( x ) dx 12. Z e x/ 4 sin (4 x ) dx 13*. Z e x cos ³ x 2 ´ dx In problems 14 and 15 evaluate the integral (simplify as much as possible): 14. Z 2 π π x cos (3 x ) dx 15*. Z e 2 e x 2 ln 2 ( x ) dx In problems 16 and 17, evaluate the integral by applying the de fi nite integral version of integration by parts: 16. Z 3 / 2 1 / 2 arccos ( x ) dx 17*. Z 1 / 2 1 / 4 x sin ( πx ) dx 18*. Assume that Z 3 1 f ( x ) g 0 (
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