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

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

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

int_0^(pi/2) (sinx)/(1+Cos^2x)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

int_(0)^(pi//6)(sinx)/(cos^(3)x) dx is equal to

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

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

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

Prove that: int_(0)^(pi//2) (sinx)/(sinx +cos x)d dx =(pi)/(4)