Pre-Calc Homework Solutions 359

2 t t 1t 2 1 1 ln 2 since this limit diverges the

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Unformatted text preview: limit diverges, the given integral diverges. 1) 1) E)t 3 B)t B 48. 4 dx 16 x 2 0 4t 3 t 1 At(t 1)(t 2 Ct (t 2 2 1) 1) B(t (Dt ( A 1)(t 2 E)t (t B D ( A 2 4 dx x 2 16 4 0 b 0 4 dx x 2 16 (A C (A D)t 4 B C 4 dx x 2 16 0 tan 1 x C using Formula 16 with a 4 dx x 2 16 1 x 0 b 4 E)t 2 4 dx lim 16 b x 2 Equating coefficients of like terms gives A A C B D C 0, E A 0, B A D B E 4, B 1. 0 lim b tan 4 lim b tan b 1 b 4 2 1 and 4 dx x 2 16 lim b 0 4 dx x 2 16 1 x b 0 Solving the system simultaneously yields A 0, B 3 lim tan b 4 1 b 1, C 2, D 2, E 1. 4 dx x 2 16 lim tan b t 1 4t dt t 2(t 1)(t 2 1) dt t2 dt t2 1 t 1 t 2 dt t 1 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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