how to add to list of known integrals



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.

Thanks for any information,

Robert Dodier