Oscar,

Thanks again for your response and clarification,


> If you want to do sqrt(P(x)) with P(x) polynomial of degree k then I
> think you can have general solutions for k=1,2,3 and 4 (assuming P(x)
> has no repeated roots). Sympy can do k=1 and should be able to do 2
> with a bit of help. For 3 and 4 you want the elliptic integrals
> although maybe sympy doesn't do them yet.
>
> For k>4 there may be solutions for certain special cases of the
> polynomial coefficients. In general for a polynomial with symbolic
> coefficients I don't think that there exist well-known mathematical
> functions to represent the results.
>

Since ultimately I need to deal with the more general case (arbitrary k),
it sounds like I better try to use numerical integration instead.

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