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

Evaluate: int_(0)^((pi)/(2))(sin^(2)x)/(1+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-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=

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

int_ (0) ^ ((pi) / (2)) (sin x) / (sin x + cos x) dx = int_ (0) ^ ((pi) / (2)) (cos x) / (sin x + cos x) dx = int_ (0) ^ ((pi) / (2)) (dx) / (1 + cot x) = int_ (0) ^ ((pi) / (2)) (dx) / ( 1 + time x) = (pi) / (4)

int_(0)^(pi//2) ( cos x - sin x )/( 2 + sin x cos x ) dx is equal to

int _(0)^(pi//2) (cos x - sin x)/(1+cos x sin x)dx is equal to