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int(dx)/((2x+3)sqrt(3x+2))=...

`int(dx)/((2x+3)sqrt(3x+2))=`

A

`(2)/(5)tan^(-1)sqrt((6x+4)/(5))+c`

B

`(5)/(2)tan^(-1)sqrt((6x+4)/(5))+c`

C

`sqrt((2)/(5))tan^(-1)sqrt((6x+4)/(5))+c`

D

`sqrt((5)/(2))tan^(-1)sqrt((6x+4)/(5))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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