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

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

A

`(1)/(2sqrt6)tan^(-1)[sqrt((2)/(3))tan2x]+c`

B

`(1)/(6sqrt2)tan^(-1)[sqrt((2)/(3))tan2x]+c`

C

`(1)/(2sqrt6)tan^(-1)[sqrt((3)/(2))tan2x]+c`

D

`(1)/(2sqrt6)log[(sqrt2+sqrt3 tan2x)/(sqrt2-sqrt3 tan2x)]+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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