int_(0)^((pi)/(2))(sqrt(sin x))/(sqrt(sin x)+sqrt(cos x))dx" is eqaul to "

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(sqrt(sin x))/(sqrt(sin x)+sqrt(cos x))dx

int_0^(pi//2)(sqrt(sin x))/(sqrt(sin x) + sqrt(cos x)) dx equals:

int_(0)^( pi/2)sqrt(1-sin x)dx

int_(0)^((pi)/(4))sqrt(1+sin2x)dx

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

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

int_(0)^(pi//2)((pi)/(4)-x)/(sqrt(sin x)+ sqrt(cos x))dx=