Am 07.07.2012 01:18, schrieb Aaron Meurer:
According to http://en.wikipedia.org/wiki/Elliptic_integral, every
elliptic integral can be reduced to an expression containing only the
three Legendre canonical forms. So I wonder if that is algorithmic.
The article says you need to find the "appropr
According to http://en.wikipedia.org/wiki/Elliptic_integral, every
elliptic integral can be reduced to an expression containing only the
three Legendre canonical forms. So I wonder if that is algorithmic.
Aaron Meurer
On Fri, Jul 6, 2012 at 4:08 PM, Aaron Meurer wrote:
> But if Pallab's answer
But if Pallab's answer is correct, then it can be, right, at least for
this specific one?
Aaron Meurer
On Fri, Jul 6, 2012 at 3:03 PM, rl wrote:
> The problem I see is *how* to add these to the integration routines.
> There is no nice Meijer-G representation. And I suppose that Risch
> can not h
The problem I see is *how* to add these to the integration routines.
There is no nice Meijer-G representation. And I suppose that Risch
can not handle these. At least not w/o major extensions.
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WolframAlpha gives an answer in terms of an elliptic integral:
http://www.wolframalpha.com/input/?i=integrate(sqrt(sin(x)),%20x)
So I imagine that if we added those that we would be able to compute this.
Aaron Meurer
On Fri, Jul 6, 2012 at 10:00 AM, pallab wrote:
>
>
> It seems sympy can not i
It seems sympy can not integrate sqrt(sin(x)).
I did the following:
import sympy as sm
from sympy.abc import x,y,z
tointegrate=sm.sqrt(sm.sin(y))
sm.integrate(tointegrate)
output is : Integral(sqrt(sin(y)), y)
After a simple change of variable the integral is doable:
def ytoz(z):
return