On Mar 7, 1:27 pm, Robert Dodier <robert.dod...@gmail.com>
wrote:
> clinton bowen wrote:
> > I tried some Cosine Transforms found in the book
> > 'Handbook of Integral Equations' by  Andrei D.
> > Polyanin and Alexander V. Manzhirov into sage and
> > I found that sage was not able to perform these
> > integrals.
>
> For the record, what are some of integrals you tried?
> ...
> At present Sage punts to Maxima to compute integrals.


Here's one of my least favorite examples:
------- Maxima 5.17.1 session -----------
mark-mcclures-computer-2:~ markmcclure$ rmaxima
Maxima 5.17.1 http://maxima.sourceforge.net
Using Lisp CMU Common Lisp Snapshot 2007-08 (19D)
(%i1) integrate(1/x^3, x, 1, inf);

Integral is divergent
 -- an error.  To debug this try debugmode(true);
------ End Maxima session --------------

Hardly exotic. I did this using the most recent
version of Maxima but Sage, of course, displays
the same problem.  Strangely, though:
---------------------------------------------
(%i2) assume(p>1);
(%o2)                 [p > 1]
(%i3) integrate(1/x^p, x, 1, inf);
(%o3)                 1/(p-1)

Mark McClure

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