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int 1/(3 + 2 cos^(2)x) dx=...

`int 1/(3 + 2 cos^(2)x)` dx=

A

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

B

`1/sqrt(6) tan^(-1) ((sqrt(2) cosx)/sqrt(3))+c`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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