On 23 led, 12:39, "[email protected]" <[email protected]> wrote:
> Hello, I have a partial answer and perhaps you found a bug in
> elliptic_e in Sage (read below).
>
> To evaluate the integral do something like this (note replacing A by
> lowercase letter)
>
> T,r,a,b=var('T r a b')
> F(x)=integrate(sqrt(1+r*sin(x)^2),x, algorithm='mathematica_free')
> eq = T==F(b)-F(a)
> eq
>
> the answer is
>
> T == -elliptice(a, -r) + elliptice(b, -r)
>

So you have to solve
 T == -elliptic_e(a, -r) + elliptic_e(b, -r)

in Sage. Sorry for the chaos in my first answer.

Robert

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