int_(0)^( pi/2)(sqrt(cot x))/(sqrt(cot x)+sqrt(san x))dx

Evaluate int_(0)^(pi//2) (sqrt(cot x))/(sqrt(cot x) + sqrt(tan x)) dx.

Evaluate : int_(0)^((pi)/2)) (sqrt(cot x))/(sqrt(cot x)+ sqrt(tan x)) dx

int_0^(pi//2) (sqrt( cot x))/(sqrt(cot x) - sqrt(tan x)) dx is :

The value of int_(0)^( pi/2)(sqrt(cos x))/(sqrt(sin x)+sqrt(cos x))dx

int_(0)^((pi)/(2))(sqrt(cot x))/(sqrt(tan x)+sqrt(cot x))dx=

Evaluate int_(0)^((pi)/(2)) (sqrt(cotx))/( sqrt(cot x ) + sqrt( tan x )) dx

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (c) int_(0)^(pi/2)(sqrt(sinx))/(sqrt(sin x) + sqrt(cos x))dx