Evaluate : `int_0^(pi/2) (2 log cos x-log sin 2x)dx`.

Evaluate : int_0^(pi/2) log sin x dx .

Evaluate int_0^(pi//2) log|cosx| dx

By using the properties of definite integrals, evaluate the integral: int_0^(pi/2) (2log sinx-logsin2x)dx

Evaluate int_0^(pi//2) log|sinx| dx

Evaluate int_0^(pi//2) (dx)/(2+cos^2x)

Evaluate : int_0^(pi/2) x/(sinx+cos x)dx .

Evaluate int_0^(pi//2) (dx)/(3+cos^2x)

Evaluate: int_0^((3pi)/2)(log|sinx|)cos(2nx)dx,ninN

Evaluate: int_0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx