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int(x^(2)-1)/(x^(4)+1)dx=...

`int(x^(2)-1)/(x^(4)+1)dx=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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