int (sqrt(tan x) + sqrt(cot x)) dx is eq...

`int (sqrt(tan x) + sqrt(cot x)) dx` is equal to

A

`sqrt2tan^(-1)((tanx)/(sqrt(2tanx)))+c`

B

`sqrt2tan^(-1)((tanx-1)/(sqrt(2tanx)))+c`

C

`tanx/sqrt2tan^(-1)((cotx-1)/(sqrt(2tanx)))+c`

D

`tanx/sqrt2tan^(-1)((cotx-1)/(sqrt(2cotx)))+c`

Verified by Experts

The correct Answer is:

C

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