(pi)/(2)int(sin^(2)x)/(1+sin x cos x)

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

Q.the value of the integral int_(0)^((pi)/(4))(cos^(2)x)/(sin x+cos x)+int_((pi)/(4))^(0)(sin^(2))/(sin x+cos x)

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)

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_(-pi//2)^(pi//2)(sin^(2)x.cos^(2)x(sin x+cos x))dx=

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

The value of int_((pi)/(6))^((pi)/(2))((1+sin2x+cos2x)/(sin x+cos x))dx is equal to

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