Integral of Taylor expansions



On Thu, Apr 24, 2008 at 3:39 PM, Richard Fateman
<fateman at cs.berkeley.edu> wrote:
> you haven't given enough info, but maybe you should try without ratsimp.
>  The taylor series should be integrable as a polynomial in s.
>   RJF
>

Richard,
   thank you for the suggestion. Unfortunately, avoiding ratsimp
doesn't help: I have the same behavior with

pT : taylor(p(s),s,0,0);
pbar : integrate(pT,s,-l/2,l/2);

(which works) and

pT : taylor(p(s),s,0,1);
pbar : integrate(pT,s,-l/2,l/2);

(which doesn't). I am using Maxima 5.14.0. Please, let me know if
there is any additional information I could provide.

Best,
   Marco

>
>
>
>  > -----Original Message-----
>  > From: maxima-bounces at math.utexas.edu
>  > [mailto:maxima-bounces at math.utexas.edu] On Behalf Of marco restelli
>  > Sent: Thursday, April 24, 2008 6:09 AM
>  > To: maxima at math.utexas.edu
>  > Subject: Integral of Taylor expansions
>  >
>  > Dear list,
>  >    I would like to use Taylor expansions to approximate integrals and
>  > I see the following problem:
>  >
>  > this trivial case works as expected, yielding   p(0) l
>  > pT : taylor(p(s),s,0,0);
>  > pT : ratsimp(pT);
>  > pbar : integrate(pT,s,-l/2,l/2);
>  >
>  > but when I take
>  > pT : taylor(p(s),s,0,1);
>  > pT : ratsimp(pT);
>  > pbar : integrate(pT,s,-l/2,l/2);
>  > maxima starts computing and never delivers any result. Does anyone
>  > have a suggestion?
>  >
>  > Thank you!
>  >    Marco
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>
>