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

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

A

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

D

`(1)/(2 sqrt(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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