2[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 :

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

If I=int(sqrt(cot x)-sqrt(tan x))dx, then I equal sqrt(2)log(sqrt(tan x)-sqrt(cot x))+Csqrt(2)log|sin x|cos x+sqrt(sin2x)|+Csqrt(2)log|sin x-cos x+sqrt(2)sin x cos x|+sqrt(2)log|sin(x+(pi)/(4))+sqrt(2)sin x cos x|+C

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

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

int_(0)^((pi)/(2))(4sqrt(cot x))/(4sqrt(tan x) + 4sqrt(cot x)) dx

int(sqrt(cot x)-sqrt(tan x))/(1+3sin2x)*dx

int _(0)^(pi//4) [ sqrt(tan x)+ sqrt(cot x)] dx is equal to

int_(0)^(pi//4) [sqrt(tan x)+sqrt(cot x)]dx