Pre-Calc Homework Solutions 358

Pre-Calc Homework Solutions 358 - 358 40. u du Chapter 8...

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Unformatted text preview: 358 40. u du Chapter 8 Review ln x 1 dx x dv v x ln x 1 dx x 43. 3 2 dx 2x x 2 b lim b 3 2 dx x(x 2) 2 ln x dx 1 dx ln x dx b x ln x x C x(x 2) A x B x 2 ln x dx 0 lim b0 2 1 A(x 2) Bx 1, B lim b 3 (A 1. b B)x 2A lim b0 x ln x x b where A b) 3 lim ( 1 b0 b ln b 2 dx x(x 2) 1 x 1 x 2 dx b 1 1 1 1 ln b 1/b 1/b lim 1/b 2 b0 lim b0 lim b ln x x x b b b ln x 2 2 b 3 2 3 lim ln b lim ( b) b0 1 0 1 lim ln b ln 41. 1 0 1 dy y 2/3 dy y 2/3 0 1 dy y 2/3 b dy y 2/3 1 3 ln 3 lim b0 1 y 3y1/3 2/3 b 1 dy 44. 1 3x 4x 3 1 dx x2 A 4x lim b 1 3x 1 dx x 2(4x 1) C x2 lim b0 3x 1 x 2(4x 1) 1 B x lim [3b1/3 b0 1 0 3] dy 3 3x 1 Ax 2 (A Bx(4x 4B)x 2 1) ( B 1 C(4x 4C)x 1) C dy y 2/3 1 lim b0 b y 3y 2/3 1 b lim b0 1/3 where A 3 1 4, B 1 dx x2 1, C b lim [3 b0 1 1 0 3b1/3] 6 1 dy y 2/3 d ( ( 3 3 3x 4x 3 lim b 1 4 4x 1 1 x 1 x b 1 1 dx x2 lim 42. 2 1 2 ln 4x b 4b 1 1 1 b ln x ln 3 3 4 d ( b 0 d ( 1)3/5 b 1)3/5 d 2 1)3/5 d 2 1 lim ln b 1 1)3/5 b 1 lim lim ( 1)3/5 b 1 5 ( 2 5 (b 2 0 1)2/5 1) d 2/5 b 2 ln 45. u du x 2e x2 2x dx x 1 4 ln 3 dv v x 2e x 1 e e ln x 1 lim b 1 0 1 5 2 5 2 dx x x d ( 1)3/5 lim b 1 b ( 1)3/5 dx 2x e dv v e e x x b dx lim b 1 5 ( 2 5 2 5 2 1)2/5 5 (b 2 0 b u 5 2 2x 2 dx x x dx lim b 1 0 2 1)2/5 du x 2e x x x x x dx x 2e x 2e 2x e 2x e x x 2e 2e dx C d ( 1)3/5 5 2 0 x 2e 0 x dx lim b 0 x 2e x 2e b2 eb dx 2x e 2b eb 2 eb x lim b 2e 2 x b 0 lim b 2 ...
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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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