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Investigate the following improper integrals for convergence : (a) int_(0)^(1)(e^(x)dx)/(sqrt(1-x^(3))), (b) int_(0)^(1)(x^(2)dx)/(root3((1-x^(2))^(5))), (c ) int_(0)^(1)sqrt((x)/(1-x^(4)))dx, (d) int_(0)^(1)(dx)/(1-x^(3)+x^(5)), (e ) int_(0)^(1)(dx)/(x-sinx), (f) int_(0)^(2)(1n(root4(x)+1))/(e^(tanx)-1)dx |
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Answer» (B) DIVERGES; (c ) converges; (d) converges; (e )diverges; (F) converges. |
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