int_(0)^((pi)/(2))(cos x)/((1+sin x)(2+sin x))dx

int_ (0) ^ ((pi) / (2)) (cos x) / (1 + sin x) dx =

Evaluate: int_(0)^((pi)/(2))(sin^(2)x)/(1+sin x cos x)dx

int_(0)^((pi)/(2))(x)/(sin x+cos x)dx

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) (Cos x)/(1+Sin x) dx=

Evaluate: \int_{0}^((pi)/2) frac{cos x}{(1+ sin x)(2+sin x)} dx

Prove that int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x)dx = 0 .

int_(0)^(pi//2)(sin x - cos x)/(1-sin x cos x)dx=