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

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

A

`(1)/(2sqrt(2))Tan^(-1)((x^(2)+1)/(sqrt(2)x))+(1)/(4sqrt(2))log |(x^(2)-sqrt(2)x+1)/(x^(2)+sqrt(2)x+1)|+c`

B

`(1)/(2sqrt(2))Tan^(-1)((x^(2)\1)/(sqrt(2)x))+(1)/(4sqrt(2))log |(x^(2)+sqrt(2)x+1)/(x^(2)-sqrt(2)x+1)|+c`

C

`(1)/(2sqrt(2))Tan^(-1)((x^(2)\1)/(sqrt(2)x))+(1)/(4sqrt(2))log |(x^(2)-sqrt(2)x+1)/(x^(2)+sqrt(2)x+1)|+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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