`int_(0)^(pi//2) sqrt(sin phi) cos^(5) phi d phi`.

int_(0)^((pi)/(2))sqrt(sin phi cos^(5)phidphi)

Evaluate the integrals int_0^(pi/2) sqrt(sin phi)cos^5 phid phi

Evaluate the definite integrals : underset(0)overset(pi/2)int(sqrt(sinphi)cos^5phi d phi

Find int( (3 sin phi-2) cosphi)/(5-cos ^2 phi-4 sin phi) d phi

int((3sin phi-2)cos phi)/(5-cos phi-4sin phi)d phi

The value of int_0^(sin^2theta) sin^-1 sqrt(phi) d phi + int_0^(cos^2theta) cos^-1 sqrt(phi) d phi is equal to (A) pi (B) pi/2 (C) pi/3 (D) pi/4