Hi Leryra,
On Thu, Nov 28, 2013 at 3:16 PM, Leryra <[email protected]> wrote:
> Hi there !
>
> I'm using Sympy in an extensive way to do some work on slow blow up
> solutions of the critical wave equation,
> The thing is that I stumbled accross this :
> integrate(-3*sqrt(3)*(a**8 - 5*a**6 + 10*a**4 - 406*a**2 +
> 224)/(4*a**2*(a**6 + 6*a**5 + 15*a**4 + 20*a**3 + 15*a**2 + 6*a + 1)),a)
>
> And I can't get why sympy throw me some "PolynomialError: 1/(16*_t**2 +
> 72*sqrt(3)*_t + 243) contains an element of the generators set"
>
> Could someone explain me this error ? Those are "just polynomials" and the
> integral doesn't look so ugly.. It has some log, but still...
I think you found a bug. If you try the integral without the sqrt(3)
at the beginning, it works:
>>> integrate(-3*(a**8 - 5*a**6 + 10*a**4 - 406*a**2 + 224)/(4*a**2*(a**6 +
>>> 6*a**5 + 15*a**4 + 20*a**3 + 15*a**2 + 6*a + 1)),a)
5 4 3 2
3⋅a 40620⋅a + 182640⋅a + 317590⋅a + 259775⋅a + 89869⋅a + 6720
- ─── + ───────────────────────────────────────────────────────────── + 1008⋅l
4 6 5 4 3 2
40⋅a + 200⋅a + 400⋅a + 400⋅a + 200⋅a + 40⋅a
2007⋅log(a + 1)
og(a) - ───────────────
2
So we need to figure out what's going on and fix it.
Ondrej
>
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