#6420: Maxima integration error with 1/x^3
------------------------+---------------------------------------------------
 Reporter:  mora        |       Owner:  mhansen        
     Type:  defect      |      Status:  new            
 Priority:  major       |   Milestone:  sage-4.1       
Component:  interfaces  |    Keywords:  maxima integral
 Reviewer:              |      Author:                 
   Merged:              |  
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 {{{
 sage: integrate(1/x^3,x,1,infinity)
 ValueError: Integral is divergent.
 }}}

 But it's NOT!

 The problem comes from Maxima. I could check four versions:

 {{{
 Maxima 5.13.0: it's ok
 Maxima 5.16.3: it gives wrong result, Sage 4.0.2 uses this
 Maxima 5.17.1: it gives wrong result
 Maxima 5.18.1: it's ok
 }}}

 An example for wrong result:
 {{{
 pe...@desktop:~/download/sage/sage-4.0.2-linux-
 Ubuntu_9.04-i686-Linux/local/bin$ ./maxima
 Maxima 5.16.3 http://maxima.sourceforge.net
 Using Lisp ECL 9.4.1
 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) integrate(1/x^3,x,1,inf);

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

 We would like to teach undergradute students with Sage, and this bug is
 quite annoying. It would be helpful, if someone could update Maxima in
 Sage.


  Thanks,
   Peter

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6420>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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