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

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

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a-x) dx . Hence, evaluate int_(0)^(pi//2) (sin x - cos x)/(1+ sin x cos x) dx.

Using properties of definite integrals, evaluate: int_(0)^(pi//2) (sin x - cos x)/(1+sin x cos x) dx

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

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

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

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

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