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int(dx)/(3+2cos^2x)...

`int(dx)/(3+2cos^2x)`

A

`(1)/(sqrt(15))cot^(-1)((sqrt(3)tanx)/(sqrt(5)))+c`

B

`(1)/(sqrt(15))tan^(-1)((sqrt(3)tanx)/(sqrt(5)))+c`

C

`(1)/(sqrt(5))cot^(-1)(tanx)/(sqrt(5)))+c`

D

`(1)/(sqrt(5))tan^(-1)(tanx)/(sqrt(5)))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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