Evaluate : `int_0^pi1/(1+sinx)dx`

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

Evaluate : int_0^(pi/2) x sinx dx

Evaluate: int_0^pi1/(1+e^(cosx))dx

Evaluate: int_0^(2pi) [2sinx]dx

Evaluate int_0^pi x^2 sinx dx

Using the properties of definite integral Evaluate : int_0^(pi/2) sinx /(sinx + cosx) dx

Evaluate: int_0^pi (cos x)/(1+sinx)^2 dx

Evaluate int_0^(pi/2) (sinx-cosx)/(1+sinxcosx)dx

Evaluate int_0^(pi/2) sqrt(1+sinx) dx

If the value of int_0^pi(x/(1+sinx))^2dx=lambda , then find the value of the integral =int_0^pi[(2x^2*cos^2(x/2))/(1+sinx)^2]dx