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More integration/ fullsimplify bugs in Mathematica 4.1

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41651] More integration/ fullsimplify bugs in Mathematica 4.1
  • From: Richard Fateman <fateman at cs.berkeley.edu>
  • Date: Thu, 29 May 2003 08:14:44 -0400 (EDT)
  • Organization: University of California, Berkeley
  • Sender: owner-wri-mathgroup at wolfram.com

Integrate[1/(a*x^2 + b*x + c/4)^n, x]
FullSimplify[%]
D[%,x]
InputForm[FullSimplify[%]] ==>

    (4^n*(-1 + n)*Gamma[1 - n]*
   (-1 + (1/2 + (b + 2*a*x)/(2*Sqrt[b^2 - a*c]))^n*
     (-1 + Gamma[2 - n])*Hypergeometric2F1Regularized[
      1 - n, n, 2 - n, 1/2 - (b + 2*a*x)/
        (2*Sqrt[b^2 - a*c])]))/(c + 4*True*(b + a*True))^n

notice the denominator has some variable "True" in it.

Cheers.
RJF


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