`int_(0)^(pi) (x)/(1+sinx)`

Evaluate the following : int_(0)^(pi)(dx)/(1+sinx)

Evaluate int_(0)^(pi//4)(dx)/(1+sinx)

If I_(n)=int_(0)^(pi) e^(x)(sinx)^(n)dx , then (I_(3))/(I_(1)) is equal to

int_0^(pi/2) (dx)/(4+sinx)

Prove that : int_(0)^(pi) (x sin x)/(1+sinx) dx=pi((pi)/(2)-1)

Given int_(0)^(pi//2)(dx)/(1+sinx+cosx)=A . Then the value of the definite integral int_(0)^(pi//2)(sinx)/(1+sinx+cosx)dx is equal to

Evaluate: int_0^pi(dx)/(1+sinx)

Evaluate int_(0)^(pi)(sin 6x)/(sinx) dx .

int_(0)^(pi//2)(x)/(sinx+cosx)dx .

Determine the value of int_(-pi)^(pi) (2x(1+sinx))/(1+cos^(2)x)dx .