" ii) "int_(0)^( pi/2)(sin^((3)/(2))x)/(sin^((3)/(2))x+cos^((3)/(2))x)dx

Evaluate int_(0)^((pi)/(2))(sin^((3)/(2))x)/(sin^((3)/(2))x+cos^((3)/(2))x)dx .

Evaluate int_(0)^(pi//2) (sin^(3//2)x)/(sin^(3//2)x+ cos^(3//2) x)dx

By using the properties of definite integrals, evaluate the integral: int_0^(pi/2) (sin^(3/2)x)/(sin^(3/2)x+cos^(3/2)x)dx

int_(0)^(pi//2)(sin^(3//2)x)/((sin^(3//2)x+cos^(3//2)x))dx=(pi)/(4)

int_(0)^(pi/2)(cos^(3/2)x dx)/(sin^(3/2)x+cos^(3/2)x)

int _(0)^(pi//2) (sin^(3//2)x)/(sin^(3//2)x+cos^(3//2)x)dx is equal to

Using properties evaluate the following definite integrals int_0^(pi/2) sin^(3/2)x/(sin^(3/2)x + cos^(3/2)x) dx

evaluate: int_0^(pi/2) (sin^(3/2)x)/(sin^(3/2)x+cos^(3/2)x)dx