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

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

If I_(1)=int_(0)^((pi)/(2))e^(sinx)(1+x cos x)dx and I_(2)=int_(0)^((pi)/(2))e^(cosx)(1-x sin x)dx, then [(I_(1))/(I_(2))] is equal to (where [x] denotes the greatest integer less than or equal to x)

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

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

The value of int_(-pi)^(pi)(2x(1+sinx))/(1+cos^(2)x)dx is

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

I_(1) = int_(0)^(pi)(xsinx)/(1+cos^(2)x)dx, I_(2) = int_(0)^(pi)(x^(2)sinx)/((pi^(2)-3pix+3x^(2))(1+cos^(2)x))dx , then

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_(-pi//2)^(pi//2)(sinx)/(1+cos^(2)x)e^(-cos^(2)x)dx is equal to

int_(-pi)^(pi) (2x(1+ sinx))/(1+ cos^(2)x)dx is