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.

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