" 10."int(sqrt(cot x)-sqrt(tan x))/(1+3sin2x)dx

int (sqrt(tan x)-sqrt(cot x))/(1+3 sin 2x)dx

If int(sqrt(cot x)-sqrt(tan x))/(4+3sin2x)dx=(1)/(2sqrt(2))ln|(f(x)+a)/(f(x)-a)| where 0 < x < (pi)/(2) then find the value of a.

int (sqrt (tan x))/(sin 2x) dx is

int(sqrt(tan x))/(sin x cos x)dx=

Evaluate : int ( sqrt( tan x) - sqrt( cot 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

The integral int sqrt(cot x)e^(sqrt(sin x))sqrt(cos x)dx equals

int( sqrt(tan x) + sqrt(cot x) ) dx =

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