#7743: Piecewise integration fixes [with patch; needs review]
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   Reporter:  pbutler  |       Owner:  AlexGhitza 
       Type:  defect   |      Status:  new        
   Priority:  minor    |   Milestone:  sage-4.3   
  Component:  algebra  |    Keywords:  integration
Work_issues:           |      Author:             
   Upstream:  N/A      |    Reviewer:             
     Merged:           |  
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 This patch fixes two issues with the piecewise class, brought up in this
 sage-support thread:

 http://groups.google.com/group/sage-
 support/browse_thread/thread/18d830ece7826898/86c401e4d6b8f3dd

 The first issue is that when a piece of the function belongs to the
 Integer ring, integration doesn't work. This is fixed by coercing each
 piece to the symbolic expression ring.

 The second issue is that there are cases where maxima needs to be given
 assumptions about the domain of x for the piece being integrated. This is
 fixed with the assume and forget functions.

 Additional unit tests have been added (or existing tests modified) for
 each issue.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7743>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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