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int(dx)/((2x+1)sqrt(x-2))=...

`int(dx)/((2x+1)sqrt(x-2))=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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