int_(0)^( pi/2)sin phi cos phi sqrt((a^(2)sin^(2)phi+b^(2)cos^(2)phi))d phi a!=b(a>0,b>0)

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

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

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

Prove: (sin phi - cos phi) ^(2) =1 - sin 2 phi.

int(2sin2 phi-cos phi)/(6-cos^(2)phi-4sin 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

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