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int(dx)/(3+2sinx)=...

`int(dx)/(3+2sinx)=`

A

`(2)/(sqrt(5))tan^(-1)((1)/(sqrt(5))(3tan((x)/(2))+2))+c`

B

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

C

`(2)/(2sqrt(5))tan^(-1)((1)/(sqrt(5))(3tan((x)/(2))+2))+c`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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