>
> sage: fs.integrate()
> RootSum(229*_t**4 + 6*_t**2 + _t + 1, Lambda(_t, _t*log(-37785*_t**3/3547 
> - 5496*_t**2/3547 + 12979*_t/3547 + x + 691/3547)))
> }}}
>
>
Interesting.
 

>
> The problem is that sage hasn't the appropiate symbolic object to handle 
> RootSum (which is the sum of a expression over the roots of a polynomial).
>
> Should we introduce these kind of symbolic objects? This is the standard 
> way to compute integrals of rational functions (IIRC, that is what the 
> Risch algorithm does, for example). Wolfram Alpha returns a different 
> expression, but still a sum over the roots of a polynomial.
>

That is a good question.  On the other hand, since both Sympy and Maxima 
seem to have them, it seems logical to wrap them. 
 See http://trac.sagemath.org/ticket/16816
- kcrisman

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