Pre-Calc Homework Solutions 471

Pre-Calc Homework Solutions 471 - Appendix A6 /4 1 ln 10 1...

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Unformatted text preview: Appendix A6 /4 1 ln 10 1 471 55. /4 cosh (tan ) sec2 1 1 1 d cosh u du 60. 0 4 sinh2 ln 10 0 x dx 2 ln 10 0 4 cosh x 2 1 dx x ln 10 0 sinh u e1 2 e sinh (1) e 1 sinh ( 1) e e 1 2 e 2 1 (cosh x 1) dx ln 10) 2 ln 10 5.295 2 2 sinh x (sinh 0 10 1 10 e1 2 e 2[(sinh (ln 10) e ln 10 e ln 10 0)] 2 ln 10 e e 1 2.350, where u 4 tan , du sec 2 d , the 9.9 61. cosh2 x 2 0 2 ln 10 sinh2 x 1 dx 2 lower limit is tan tan /2 1 and the upper limit is 1, so 4 1. 1 0 (cosh2 x sinh2 x) dx 56. 0 2 sinh (sin ) cos 1 2 cosh u 0 d 2 0 sinh u du 2 e e 2 1 ln 3 3 ln 3 2(cosh 1 2 cosh 0) 1 cos d , 62. ln sech2 x dx 3 tanh x ln 3 e e 1 1.086, where u sin , du e ln e e 3 ln 3 ln 3 ln 3 ln 3 e e ln ln 3 3 e ln 3 3 the lower limit is sin 0 sin 2 0 and the upper limit is 2 e ln 3 e ln 3 3 199 e ln 3 1 3 1 3 2 1 ln 2 0 e e e ln 3 1 1 2 3 57. 1 cosh (ln t) dt t cosh u du e ln 2 2 e ln 2 sinh u 0 ln 2 2 sinh (ln 2) 2 2 1 2 sinh (0) 0 1 dt, the lower limit is t ln 3 , where u 4 ln t, du 63. 0 ln 0 ln 0 (1 199 tanh x)2 dx tanh2 x) dx sech2 x) dx ln 199 ln 1 4 0 and the upper limit is ln 2 x 2 (1 199 2 tanh x 58. 8 cosh x 1 dx 16 1 cosh u du 16 sinh u 2 1 16(sinh 2 16 8(e 2 u 1 0 sinh 1) e 2 (2 2 tanh x e2 2 e e 2 1 1 2x 39.227, where dx 2 x 2 ln (cosh x) tanh x 0 e x 2 e e ) x 1/2, du 1 1/2 x dx 2 , the lower limit is 2 ln 199 2 ln [cosh (ln e ln 199 199)] e 2 ln 199 tanh (ln 199) 1 and the upper limit is 2 4 2. 2 ln 199 199 2 ln e e ( 59. ln 2 cosh 0 x dx 2 1 (cosh x 2 ln 2 1 [(sinh 0 0) 2 1 e (0 0) 2 1 2 1 1 2 (1/2) 2 1 4 2 cosh x 1 dx ln 2 2 1 0 1) dx sinh x x 2 ln 2 0 e ln ln 199 ln 199 e ln 199 (sinh ( ln 2) ln 2 ln 2)] ln 199 ln 199 1/ 199)2 4 199 199 199 199 1 1 199 100 1/ 199 1/ 199 e ln 2 2 ln 2 ln 199 ln 199 2 1/199 4 99 100 ln 2 3 8 1 ln 2 2 3 8 ln 199 ln 10,000 199 2 ln 99 100 ln 2 ln 2 0.722 1.214 ...
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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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