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Evaluate: int(x^2-1)/(x^4+1)\ dx...

Evaluate: `int(x^2-1)/(x^4+1)\ dx`

A

`(1)/(2sqrt2)log|(x+(1)/(x)+sqrt(2))/(x+(1)/(x)-sqrt(2))|+c`

B

`(1)/(2sqrt2)log|(x+(1)/(x)-sqrt(2))/(x+(1)/(x)+sqrt(2))|+c`

C

`(1)/(sqrt2)log|(x+(1)/(x)+sqrt(2))/(x+(1)/(x)-sqrt(2))|+c`

D

`(1)/(sqrt2)log|(x+(1)/(x)-sqrt(2))/(x+(1)/(x)+sqrt(2))|+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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