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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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