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int(1)/(2+cos 2x)dx=...

`int(1)/(2+cos 2x)dx=`

A

`(1)/(3sqrt2)log[(sqrt3+tanx)/(sqrt3-tanx)]+c`

B

`(1)/(3sqrt2)log[(3+tanx)/(3-tanx)]+c`

C

`(1)/(sqrt3)tan^(-1)((1)/(sqrt3)tanx)`

D

`(1)/(2sqrt3)log[(sqrt3 tanx)/(1+tanx)]+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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