The value of `int_(0)^((pi)/(2))log[(3+5cos x)/(3+5sin x)]dx` is

int_(0)^((pi)/(4))log((sin x+cos x)/(cos x))dx

int_(0)^((pi)/(2))log(sin2x)dx

int_(0)^((pi)/(2))(2log cos x-log sin2x)dx

The value of int_0^(pi//2) log ((4+3 sin x)/(4+3 cos x)) dx is:

Evaluate: int_(0)^((pi)/(2))log((4+3sin x)/(4+3cos x))dx

Choose the correct answer The value of int_(0)^((pi)/(2))log((4+3sin x)/(4+3cos x))dx(A)2(B)(3)/(4)(C)0

If int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=In2, then the value of int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to:

int_(0)^((pi)/(2))(sin8x log(cot x))/(cos2x)dx

The value of int_(0)^(pi//2) (sin 8x log cot x)/(cos 2x)dx , is