Re: More integration/ fullsimplify bugs in Mathematica 4.1
- To: mathgroup at smc.vnet.net
- Subject: [mg41682] Re: More integration/ fullsimplify bugs in Mathematica 4.1
- From: Bill Rowe <listuser at earthlink.net>
- Date: Fri, 30 May 2003 03:56:26 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
On 5/29/03 at 8:14 AM, fateman at cs.berkeley.edu (Richard Fateman) wrote: > 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. FWIW, I don't see this using version 4.2.1.0 with Mac OS 10.2.6. The results of the differention step match the integrand in the first step.