divergent integral not recognized, (Was: integrate and pnz questions (progress?))
Subject: divergent integral not recognized, (Was: integrate and pnz questions (progress?))
From: andre maute
Date: Sun, 23 Aug 2009 15:15:48 +0200
On Sunday 23 August 2009, Dieter Kaiser wrote:
> Am Sonntag, den 23.08.2009, 12:54 +0200 schrieb andre maute:
> > The zeroa problem has NOT been fully fixed yet. In Maxima 5.17.1 I get
> >
> >
> >
> > -------------------------------------------------------------
> > $ maxima -b integratebug.max
> > Maxima 5.17.1 http://maxima.sourceforge.net
> > Using Lisp SBCL 1.0.18.debian
> > Distributed under the GNU Public License. See the file COPYING.
> > Dedicated to the memory of William Schelter.
> > The function bug_report() provides bug reporting information.
> > (%i1) batch(integratebug.max)
> >
> >
> >
> > batching /home/user/integratebug.max
> > (%i2) display2d : false
> > (%o2) false
> > (%i3) integrate((1+x)^2/(x-1),x)
> > (%o3) 4*log(x-1)+(x^2+6*x)/2
> > (%i4) integrate((1+x)^2/(x-1),x,-1,1)
> > Is zeroa positive, negative, or zero?
> >
> >
> >
> > pos;
> > Integral is divergent
> > -- an error. To debug this try debugmode(true);
> > -------------------------------------------------------------
>
> The current version of Maxima is 5.19 (August 2009).
>
> Maxima gets
>
> (%i18) integrate((1+x)^2/(x-1),x,-1,1);
> defint: integral is divergent.
> -- an error. To debug this try debugmode(true);
>
> There is no question and Maxima returns immediately that the integral is
> divergent. That is correct.
>
> There is no longer a zeroa or zerob problem present for this example and
> the current Maxima version.
Thanks for checking this for me.
I will update my maxima installation.
Andre