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

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

A

`sqrt2 tan^(-1)[(x^(2)-1)/(sqrt2x)]+c`

B

`-sqrt2 tan^(-1)[(x^(2)-1)/(sqrt2x)]+c`

C

`(1)/(sqrt2)tan^(-1)[(x^(2)-1)/(xsqrt2)]+c`

D

`sqrt2log(x^(2)+sqrt(x^(4)+1))+c`

Text Solution

Verified by Experts

The correct Answer is:

C

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