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

Evaluate the following definite integral: int_(pi/2)^( pi)e^(x)((1-sin x)/(1-cos x))dx

Evaluate the definite integrals int_((pi)/(2))^(pi)e^(x)((1-sin x)/(1+cos x))dx

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

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

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

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

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