1.

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)|)).

Answer»


ANSWER :(a) It CONVERGES;
(b) diverges;
(c ) diverges;
(d) converges;
(E ) converges.


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