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

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=

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

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

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

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

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