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

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

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The correct Answer is:
`(1)/(2 sqrt(2)) tan^(-1) ((x^(2) - 1)/(x sqrt(2)) ) + (1)/(4 sqrt(2)) log | (x^(2) + 1 + sqrt(x))/(x^(2) + 1 - sqrt(2)x) | + c `
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