`int_0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx)) dx`

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

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

By using the properties of definite integrals, evaluate the integrals int0pi/2(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx

Evaluate the following integrals: underset(0)overset(pi//2)int(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx

A:int_(0)^(pi//2)(sqrtsinx)/(sqrt(sinx)+sqrtcosx)dx=(pi)/(4) R:int_(0)^(pi//2)(f(sinx))/(f(sinx)+f(cosx))dx=(pi)/(4)

Evaluate int_(pi//6)^(pi//3) (sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx

Evaluate: int_(0)^((pi)/(2))(sqrt(cosx))/(sqrt(sinx)+sqrt(cosx))dx

Evaluate int_((pi)/(6))^((pi)/(3))(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx

int_(0)^((pi)/(2))(sqrt(sinx)dx)/(sqrt(sinx)+sqrtcosx)