how to add to list of known integrals

I shouldn't have to say this (and I probably shouldn't), but its time
someone stated the obvious:
http://en.wikipedia.org/wiki/Lists_of_integrals
http://en.wikipedia.org/wiki/Bessel_function
http://en.wikipedia.org/wiki/List_of_integrals_of_exponential_functions (This
only has a few special functions listed)

Almost all of these links appear to have both integral and derivative
information for special functions (
http://reference.wolfram.com/mathematica/guide/SpecialFunctions.html ).
Here is another:
http://www.math.tulane.edu/~vhm/Table.html<http://129.81.170.14/~vhm/pap-index.html>;


On Fri, Mar 2, 2012 at 11:02 AM, Karl-Dieter Crisman <kcrisman at gmail.com>wrote:

> > ------------------------------
> >
> > Message: 7
> > Date: Fri, 2 Mar 2012 00:12:11 -0700
> > From: Robert Dodier <robert.dodier at gmail.com>
> > To: Maxima Mailing List <maxima at math.utexas.edu>
> > Subject: how to add to list of known integrals
> > Message-ID:
> >        <CAAsY_sSyaD+Gn5ftSqS3Lhq5BNmE5=
> PS0Kuwasuq3FLUn1gP1g at mail.gmail.com>
> > Content-Type: text/plain; charset=ISO-8859-1
> >
> > Hi everybody,
> >
> > is there some way to add to the list of known integrals?
> > (Whether it's by some Lisp programming or otherwise.)
> > e.g. we could add integrate(cos(x*sin(t)), t, 0, %pi) =>
> > %pi * bessel_j(0, x) and then integrate could recognize
> > at least that and maybe do some related integrals.
> >
> > I guess there are at least two kinds known integrals,
> > which would have to be handled in different ways -- namely
> > definite and indefinite.
> >
>
> Just wanted to say that at Sage we would be REALLY interested in this.
>  We've been doing a lot of work trying to make a lot of our special
> functions more capable (which means compliant with Maxima and several
> other systems, and allowing for multiple libraries for numerical
> evaluation) lately, so this would be wonderful.
>
> It could also be a way for relative newcomers to both projects to
> contribute.  You don't know how to program Python, Maxima, or Lisp?
> You can still at least add to the list of known integrals!
> _______________________________________________
> Maxima mailing list
> Maxima at math.utexas.edu
> http://www.math.utexas.edu/mailman/listinfo/maxima
>