Pre-Calc Homework Solutions 281

Pre-Calc Homework Solutions 281 - Chapter 6 Review 10. Let...

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Unformatted text preview: Chapter 6 Review 10. Let u du 1 du 3 dx 3 281 3x 3 dx dx 4 15. Let u du dx x ln x ln x 1 dx x 1 du u ln u 4 1 u 1/3 du 3 1 3 2/3 u C 3 2 1 (3x 4)2/3 C 2 C C 3x ln ln x dt t t dt t 3/2 16. t 11. Let u du 1 du 2 t dt t2 5 3/2 dt C C t2 2t dt t dt 1 2 1 2 1 2 1 1 2 5 2t 2 t 1 du u 1 ln u 2 1/2 C 17. Use tabular integration with f (x) f(x) and its derivatives x3 3x2 (+) () (+) () g(x) and its integrals cos x sin x cos x sin x cos x x 3 and g(x) cos x. ln t 2 ln (t 2 5 5) C C 12. Let u du 1 2 d 1 6x sec 1 tan d sec u tan u du sec u sec 1 6 0 C C x 3 cos x dx x 3 sin x 18. Let u du ln x 1 dx x 1 5 x ln x 5 1 5 x ln x 5 1 5 x ln x 5 13. Let u du ln y 1 dy y 3x 2 cos x dv v 6x sin x x 4 dx 1 5 x 5 6 cos x C tan (ln y) dy y tan u du sin u du cos u x 4 ln x dx 1 5 1 x dx 5 x 1 4 x dx 5 1 5 x C 25 Let w dw cos u sin u du 1 dw w ln w C C C ln cos u 14. Let u du e e x dx x ln cos (ln y) e x sec (e x) dx sec u du ln sec u tan u C ln sec (e x) tan (e x) C ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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