If l=int(sqrt(tanx)+sqrt(cotx))dx=f(x)+c...

If `l=int(sqrt(tanx)+sqrt(cotx))dx=f(x)+c` then `f(x)` is equal to

A

`sqrt(2)sin^(-1)(sinx-cosx)`

B

`(pi)/(sqrt(2))-sqrt(2)cos^(-1)(sinx-cosx)`

C

`sqrt(2)tan^(-1)((tanx-1)/(sqrt(2tanx)))`

D

`sin2x`

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