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

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

Given int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=ln2 then the value of the definite integral int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to

Given int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=log2. Then the value of integral int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to (1)/(2)log2(b) is (pi)/(2)-log2(pi)/(4)-(1)/(2)log2(d)(pi)/(2)+log2

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

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

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

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