`overset(pi//2)underset(0) int (sin x)/(sin x + cos x) dx`

Solve : int(sin x)(sqrt(1+cosx) ) dx

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a-x) dx . Hence, evaluate int_(0)^(pi//2) (sin x - cos x)/(1+ sin x cos x) dx.

Evaluate int_(0)^(pi//2) (sqrt( sin x))/(sqrt(sin x)+ sqrt(cos x))dx.

Integrate the function int (4 cos x-3 sin x)/((8 sin x + 6 cos x)^(2))dx.

Evaluate the integrals int(sin2xdx)/(asin^2x + b cos^2x)

Evaluate int e^(x) cos x dx

Evaluate int_(0)^(pi//2) (cos^(5) x)/(sin^(5)x + cos^(5) x) dx.

Evaluate the integrals int(sin^4x - cos^4x)/(sin^2xcos^2x)dx