`int(dx)/(1-sin x-cos x)=`

int(dx)/(1+2sin x+cos x)=

int(1)/(sin x-cos x)dx

int(1)/(sin x+cos x)dx

int(sin x)/(1+sin x+cos x)dx

int(1)/(sin x+(cos x) dx

int(x-sin x)/(1-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 (dx) / (1-cos x-sin x) =

int(cos 2x)/(1+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