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MathGroup Archive 2001

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AW: A bug of Integrate[] in Mathematica 4.1

  • To: mathgroup at smc.vnet.net
  • Subject: [mg27365] AW: [mg27343] A bug of Integrate[] in Mathematica 4.1
  • From: Stefan.Schenderlein at ferring.de
  • Date: Thu, 22 Feb 2001 02:25:10 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Rino,
in my 4.1  I got these results:
Integrate[1-x^a,{x,0,1}]

a
------
1+ a

For 
Integrate[1-x^(-a),{x,0,1}]
the result is
If[0<Re[a]<1,a/(-1+a), Integrate[(1-x)^(-a),{x,0,1}]]

If a=9/10 then the result is -9.
If a=99/100 then the result is -99 and so on. But the computing time
increaes dramatically.
a=-999/1000 took already "years" so I aborted the calculation.

So I would not say this is a bug rather a question of optimization for a
special problem.

Stefan


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