`int_(0)^((pi)/(2))sin x*cos^(3)x*dx`

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

int_(0)^( pi)( sin x*cos^(3)x)dx

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

Evaluate: int_(0)^((pi)/(2))|sin x-cos x|dx

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

" (7.) "int_(0)^((pi)/(2))(sin^(2)x-cos^(2)x)/(sin^(3)x+cos^(3)x)dx

int_(0)^((pi)/(2))(sin^(2)x-cos^(2)x)/(sin^(3)x+cos^(3)x)dx

int_(0)^(pi//2)sin^(4)x cos^(3)x dx =

If I_(1)=int_(0)^( pi)xf(sin^(3)x+cos^(2)x)dx and I_(2)=int_(0)^((pi)/(2))f(sin^(3)x+cos^(2)x)dx, then relate I_(1) and I_(2)

int_(0)^(pi//2)sin^(3)x cos^(4)x dx=