`int_0^(pi/4)(x^2dx)/((xsinx+cosx)^2)`

Let I_1=int_0^(pi/2)(dt)/(1+t^6)and I_2int_0^(pi/2)(xcosxdx)/(1+(xsinx+cosx)^6), then

Let u=int_0^(pi//4)((cos x)/(sinx+cosx))^2dx\ a n d\ v=int_0^(pi//4)((s in x+cosx)/(cosx))^2dxdot Find the value of v/udot

int_(0)^(pi//2)(x)/(sinx+cosx)dx .

Evaluate int_(0)^(pi//2)(x)/((sinx+cosx))dx .

int_(0)^(pi//2)(cosx)/((sinx+cosx))dx=(pi)/(4)

int_(0)^(pi//2) e^x(sinx+cosx) dx

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

Evaluate the following: int_(-pi)^(pi)(1-x^(2))xsinx cos^(2)x dx