`int_0^pix/(1+sinx)dx` dx.

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

int_(0)^(pi)(x)/(1+sinx)dx .

Evaluate the following integral: int_0^pi(xsinx)/(1+sinx)dx

Evaluate int_0^pi x^2 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

Prove that int_(0)^(tan^(-1)x)/x dx=1/2int_(0)^((pi)/2)x/(sinx)dx .

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

Find int_0^(pi/2)dx/(1+sinx)

(i) Show that int_(0)^(pi)xf(sinx)dx =(pi)/(2)int_(0)^(pi)f (sin x)dx. (ii) Find the value of int_(-1)^(3//2)|x sin pix|dx .

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