" 15."int_(0)^( pi/2)(sin x-cos x)/(1+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.

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 4x ))dx

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

int_(0)^(pi//2) ""(sin x - cos x)/( 1-sin x * cos x) dx is equal to

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

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

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

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