El sábado, 6 de diciembre de 2014 09:57:09 UTC+1, tdumont escribió:
>
> Hi, 
> If I read this: http://en.wikipedia.org/wiki/Risch_algorithm 
> I understand that : f=x/(sqrt(x^4+10*x^2-96*x-71)) has an anti-primitive. 
>   I do not have maple, so I do nt know if Maple can integrate it; bur 
> sage cannot: 
>
>
>  >f=x/(sqrt(x^4+10*x^2-96*x-71)) 
>  >integral(f,x) 
> integrate(x/sqrt(x^4 + 10*x^2 - 96*x - 71), x) 
>
> t. 
>

As mentioned by Martin R in other comments,  FriCAS can find the primitive 
of that expresion in terms of elementary functions. I have just checked 
that Wolphram Alpha can't do it, and a quite old version of Maple that i 
have just checked gives the answer in terms of elliptic integrals.

If FriCAS is right now the best software for computing these kind of 
integrals, it might be worth the effort to include it as standard package, 
write a good interface and adapt the integrate methods to use it, at least 
as a fallback option.

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