int(log x-sin x)/(1+sin2x)dx

Evaluate: (i) int(sin2x)/(sin5x sin3x)dx (ii) int(1+cot x)/(x+log sin x)dx

Prove that int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx and hence evaluate int_(0)^(pi//2)(2log sin x-log sin2x)dx .

int cos2x*log((cos x+sin x)/(cos x-sin x))dx

The value of int_(0)^(pi//2) (2log sin x-log sin 2x)dx , is

The value of int_(0)^(pi//2) (2log sin x-log sin 2x)dx , is

The value of the integral int_(0)^((pi)/(2))(sin x)^(cos x)(cos x cot x-ln(sin x)^(sin x))dx

Evaluate: int(1+cot x)/(x+log sin x)dx

int log(sin x) . (cot x)dx .