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Integrate in Mathematica 2.2 and 3.0

  • To: mathgroup at smc.vnet.net
  • Subject: [mg15360] Integrate in Mathematica 2.2 and 3.0
  • From: pichon at leyla.u-strasbg.fr (Christophe Pichon)
  • Date: Sat, 9 Jan 1999 23:58:19 -0500
  • Organization: CRC - Universite Louis Pasteur - Strasbourg France
  • Sender: owner-wri-mathgroup at wolfram.com

Hello Everyone

I am encountering the following problem

I had the function

 int[c0_,c1_,c2_,a0_,a1_,a2_,a3_]=
        Integrate[Sum[ ToExpression["a" <>ToString[i]]*
   x^i,{i,0,3}] x /Sqrt[x^2-c0^2],{x,c1,c2}]//Simplify//Apart


defined in Mathematica 2.2

When I now run this notebook in Mathematica3 it hangs.

If  I  add

SetOption[Integrate,GenerateConditions->False, Assumptions->{c1>c0}]

I  get  an   answer  but  it  is formaly  complex   since  it involves
sqrt(c0-c1) for instance.   My quetion is : can  I tell mathematica to
produce answers a la Mathematica 2.2 for Integrate ? If not how can I
tell Mathematica that I want a  solution which is  consistant formally
with  c2>c1>c0>0 say (which Mathematica 2.2 was giving by default) ?


Cheers

Christophe
                                                                        


-------------------------------------------------------------------------
 Christophe Pichon        
 E-mail : pichon at iap.fr  

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