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For the equation:

The indefinite integral of $\frac{1}{x^4+1}$ My question is, without partial fractions to turn this into "integrable" form what can I do?

Is it algabraically possible to manipulate this to fit any of the standard integration rules? Possibly letting $u=x^2$, giving $\frac{1}{u^2+1}$.

Thanks

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rich raiders
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  • Write the numerator as $\dfrac{x^2+1}2-\dfrac{x^2-1}2$ and use teh concept of http://math.stackexchange.com/questions/426152/evaluating-int-0-infty-fracdx1x4 – lab bhattacharjee Feb 17 '16 at 08:11

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