Pre-Calc Homework Solutions 360

E t t since this integral diverges given integral

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Unformatted text preview: n [1, ) b 55. x 2 e t 7x 12 (x A x 4 4)(x B x 3) 3 dt lim b 1 dt x2 lim b e e t b 2x 1 7x 12 1 b 2x 1 e 1 e 1 A(x (A 3) B)x B(x 3A 4) 4B lim b Since this integral converges, the given integral converges. Equating coefficients of like terms gives A B 2 and 3A 4B 1. 9, B 7. Solving the system simultaneously yields A 2x 1 dx x 2 7x 12 9 dx x 4 7 dx x 3 9 ln x 4 7 ln x 3 C...
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