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Investigate the following integrals for convergence : (a) int_(0)^(1)(dx)/(sqrt(sinx)), (b) int_(0)^(1)(dx)/(e^(x)-cosx), (c ) int_(0)^(1)(cos^(2)xdx)/((1-x)^(2)), (d) int_(0)^(1)(tanxdx)/(sqrt(1-x^(2))), (e ) int_(1//2)^(6//5)(sinxdx)/(sqrt(|1-x^(2)|)). |
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Answer» (b) diverges; (c ) diverges; (d) converges; (E ) converges. |
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