RE: Odd results in integration

*To*: mathgroup at smc.vnet.net*Subject*: [mg32883] RE: [mg32871] Odd results in integration*From*: "David Park" <djmp at earthlink.net>*Date*: Mon, 18 Feb 2002 05:22:02 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

Tomas, It only looks different. That is because of the natural sorting order. For example b comes before y but y comes before beta. If you convert the outputs to TraditionalForm they will look more nearly alike, but still have the factors in a different order. David Park djmp at earthlink.net http://home.earthlink.net/~djmp/ > From: Tomas Garza [mailto:tgarza01 at prodigy.net.mx] To: mathgroup at smc.vnet.net > > 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 > >