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UH oh, integration of rational functions has a bug.

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41650] UH oh, integration of rational functions has a bug.
  • From: Richard Fateman <fateman at cs.berkeley.edu>
  • Date: Thu, 29 May 2003 08:14:40 -0400 (EDT)
  • Organization: University of California, Berkeley
  • Sender: owner-wri-mathgroup at wolfram.com

Mathematica 4.1

In[1]:=  1 + 5*x + a*x^2 + 10*x^3 + 5*x^4 + x^5


Integrate[1/%, x]

%1 /. a -> 10

Integrate[1/%, x]

%1 /. a -> c

Integrate[1/%, x]

InputForm[%]    ===>

RootSum[1 + 5*#1 + c*#1^2 + 10*#1^3 + 5*#1^4 + #1^5 & ,
   Log[x - #1]/(5 + 30*#1^2 + 20*#1^3 + 5*#1^4 +
      2*#1*Integrate`V[1][6]) & ]

WHAT is THIS ^^^^^^^^^^^^^^^ ??   and why did it not
appear in the identical problem where there was an "a"
instead of a "c" ??

It is somehow dependent on the sequence of commands.



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