Re: More integration/ fullsimplify bugs in Mathematica 4.1
- To: mathgroup at smc.vnet.net
- Subject: [mg41672] Re: [mg41651] More integration/ fullsimplify bugs in Mathematica 4.1
- From: Bobby Treat <drmajorbob+MathGroup3528 at mailblocks.com>
- Date: Fri, 30 May 2003 03:56:19 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
At my machine, I get the following:
Integrate[1/(a*x^2 + b*x + c/4)^n, x];
FullSimplify[%];
D[%, x];
FullSimplify[%]
(c/4 + x*(b + a*x))^(-n)
Bobby
-----Original Message-----
From: Richard Fateman <fateman at cs.berkeley.edu>
To: mathgroup at smc.vnet.net
Subject: [mg41672] [mg41651] More integration/ fullsimplify bugs in Mathematica
4.1
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