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Evaluate int(sqrt(tanx)+sqrt(cotx))dx...

Evaluate `int(sqrt(tanx)+sqrt(cotx))dx`

A

`sqrt2 tan^(-1)((tanx)/(sqrt(2tanx)))+c`

B

`sqrt2 tan^(-1)((tanx-1)/(sqrt(2tanx)))+c`

C

`(tanx)/(sqrt2)tan^(-1)((cotx+1)/(sqrt(2tanx)))+c`

D

`(tanx)/(sqrt2)tan^(-1)((cotx-1)/(sqrt(2cotx)))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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