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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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