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

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The correct Answer is:

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

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int (1+x^(2))/(1-x^(2)).(dx)/(sqrt(1+x^(4)))=(1)/(sqrt(2))log|(sqrt(1+x^(4))+xsqrt(2))/(1-x^(2))|+c