`int_(0)^(pi//2)(sqrt(cotx))/((1+sqrt(cotx)))dx=?`

int_(0)^(pi//2)(sqrt(tanx)+sqrt(cotx))\ dx

int sqrt(cotx)dx

The value of the integral int_(0)^(pi//2)(sqrt(cotx))/(sqrt(cotx)+sqrt(tanx))dx is

The value of the integral int_(0)^(pi//2)(sqrt(cotx))/(sqrt(cotx)+sqrt(tanx))dx is

int_(0)^(pi//2)(sqrt(cotx))/(sqrt(tanx)+sqrt(cotx))dx=

I : int_(0)^(pi//2)(sqrtcotx)/(sqrt(tanx)+sqrt(cotx))dx=(pi)/(4) II : int_(0)^(pi//2)(2sinx+3cosx)/(sinx+cosx)dx=(pi)/(4)

int_(0)^(pi/2)(dx)/(1+sqrt(cotx))

By using the properties of definte, prove that int_(0)^(pi//2)(sqrt(cotx))/(sqrt(tanx)+sqrt(cotx))=(pi)/4