Re: Odd results in integration
- To: mathgroup at smc.vnet.net
- Subject: [mg32897] Re: Odd results in integration
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Mon, 18 Feb 2002 05:22:28 -0500 (EST)
- Organization: Universitaet Leipzig
- References: <a4la4q$e1h$1@smc.vnet.net>
- Reply-to: kuska at informatik.uni-leipzig.de
- Sender: owner-wri-mathgroup at wolfram.com
Hi, Integrate[(a - y)^(2*n - 1)/(b - y)^n, y] // FullSimplify and Integrate[(\[Alpha] - y)^(2*n - 1)/(\[Beta] - y)^n, y] // FullSimplify generate the same output. On the first look, the results without the FullSimplify[] seems to be different because Mathematica use a different symbol ordering for a,b,y and \[Alpha],\[Beta], y Regards Jens Tomas Garza wrote: > > This problem has been brought to my attention, and I am puzzled as to > what's going on. The following indefinite integral is readily evaluated > by Mathematica: > > In[1]:= > Integrate[(a - y)^(2*n - 1)/(b - y)^n, y] > Out[1]= > ((a - y)^(2*n)*(-b + y)*Hypergeometric2F1[1 - n, 1 - 2*n, > 2 - n, -((b - y)/(a - b))])/(((-a + b)*(-1 + n))* > ((1 + (b - y)/(a - b))^(2*n)*(b - y)^n)) > > where a, b and n are constants. However, if in the above input cell one > uses the greek letters "alfa" and "beta" (through Esc a Esc and Esc b > Esc) instead of a and b, respectively, the result turns out to be > different. > > Tomas Garza > Mexico City