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

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

A

`(1)/(sqrt(2))log|(sqrt(x+1)-sqrt(2))/(sqrt(x+1)+sqrt(2))|+c`

B

`(1)/(sqrt(2))log|(sqrt(x+1)+sqrt(2))/(sqrt(x+1)-sqrt(2))|+c`

C

`(1)/(2sqrt(2))log|(sqrt(x+1)-sqrt(2))/(sqrt(x+1)+sqrt(2))|+c`

D

`(1)/(2sqrt(2))log|(sqrt(x+1)+sqrt(2))/(sqrt(x+1)-sqrt(2))|+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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