" If "int_(0)^( pi/2)(dx)/(1+sin x+cos x)=log2

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)ln(sin^(2)x cos x)dx

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

int_(0)^(pi//2) (Cos x)/(1+Sin x) dx=

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

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

Show that : int_(0)^((pi)/(2))(sin^(2)x)/(sin x+cos x)dx=(1)/(sqrt(2))log(sqrt(2)+1)

Prove that : int_(0)^(pi//2) (sin x -cos x) log (sin^(3) x + cos^(3)x) dx=0

Prove that : int_(0)^(pi//2) (sin x -cos x) log (sin^(3) x + cos^(3)x) dx=0