Evaluate `int_0^(pi/2) f(x)dx`.

Evaluate int_0^(pi/2) xcosx dx

Evaluate int_0^(pi/2) cos^2x dx

Evaluate int_0^(pi/2) sin^7x dx

Evaluate: int_0^(pi/2) xcotx dx

Evaluate: int_0^(pi/2) (sin2x)/(sin^4x+cos^4x)dx

Let f be a differentiable function satisfying int_(0)^(f(x))f^(-1)(t)dt-int_(0)^(x)(cost-f(t)dt=0 and f((pi)/2)=2/(pi) The value of int_(0)^(pi//2) f(x)dx lies in the interval

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

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

Evaluate : int_0^(pi//2)(dx)/(1+costhetadotcos x)theta in (0,pi)

Evaluate: int_0^(pi//2)(cos^2x)/(cos^2x+4sin^2x)dx