int(1+sin x)/(sin x(1+cos x))dx" is equal to "

int (1)/(sin x cos x)dx is equal to

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

int( x + sin x )/( 1+ cos x) dx is equal to

int (sin x + cos x)dx is equal to :

int (sin x - cos x)dx is equal to :

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

int 1/(sin^2x cos^2x )dx is equal to:

int (sin^(2)x)/(1+cos x) dx is equal to

int(sin x(dx)/(sqrt(1+cos x))) is equal to =

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: