`int_0^(pi/2) dx/(1+sinxcosx)`

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

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

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

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

Evaluate the following: int_0^(pi/2) dx/(1+tanx)

int_(0)^(pi//2)((sinx-cosx))/((1+sinxcosx))dx=0

int_(0)^(pi//2)(sinxcosx)/((1+sin^(4)x))dx

Evaluate the following integral: int_0^(pi//2)(sinxcosx)/(1+sin^4x)dx

I_(1)=int_(0)^((pi)/2)(sinx-cosx)/(1+sinxcosx)dx, I_(2)=int_(0)^(2pi)cos^(6)dx , I_(3)=int_(-(pi)/2)^((pi)/2)sin^(3)xdx, I_(4)=int_(0)^(1) In (1/x-1)dx . Then