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int(1)/(3+2cosx)dx=...

`int(1)/(3+2cosx)dx=`

A

`(2)/(5)tan^(-1)[(tan(x//2))/(5)]+c`

B

`(5)/(sqrt2)tan^(-1)[(tan(x//2))/(sqrt2)]+c`

C

`(sqrt2)/(5)tan^(-1)[(tan(x//2))/(5)]+c`

D

`(2)/(sqrt5)tan^(-1)[(tan(x//2))/(sqrt5)]+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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