int_(0)^((pi)/(2))(cos 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:

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

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

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

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

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

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

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 " (ii) Prove that " : int_(0)^(pi//2) sin 2x. log (tan-x) dx=0