I=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 .

I_(1)=int_(0)^((pi)/(2))(sin x-cos x)/(1+sin x cos x)dx,I_(2)=int_(0)^(2 pi)cos^(6)xdx,I_(3)=int_((pi)/(2))^((pi)/(2))sin^(3)xdx,I_(4)=int_(0)^(1)1n((1)/(x)-1)dx. Then I_(1)=I_(3)=I_(4)=0,I_(1)!=0I_(1)=I_(3)=0,I_(4)!=0I_(1)=I_(2)=0,I_(4)!=0I_(1)=I_(2)=I_(3)=0,I_(4)!=0

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.

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

Evaluate the following integrals (i) int_(0)^(pi/2)(2 sin x + 3 cos x)/(sin x + cos x)dx

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