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Re: Can somebody integrate this function ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg112538] Re: Can somebody integrate this function ?
  • From: dr DanW <dmaxwarren at gmail.com>
  • Date: Sun, 19 Sep 2010 05:38:06 -0400 (EDT)
  • References: <i727ib$esu$1@smc.vnet.net>

I would say that something is up here.  I integrated it in my copy of
version 7 (version details below) with no problem.

$Version

"7.0 for Mac OS X x86 (64-bit) (February 19, 2009)"

Since the integrand is just a polynomial in z, this should be a no-
brainer for Mathematica.  Try the integral in a completely clean start-
up of Mathematica; perhaps you have set a value for y somewhere, maybe
even in an init.m file that is being read in automatically.

I am assuming that you are more interested in why Mathematica seems to
be acting strangely than you are about the integral itself, but if you
still need the integral, try:

cl = CoefficientList[ (5/12) (-1 + z) (y^2 - 3 z^2) (27 y^4 - 12
Sqrt[3] y^5 + 4 y^6 +
    18 y^2 (3 - 2 z) z^2 + 3 (3 - 2 z)^2 z^4 +
    4 Sqrt[3] y^3 z^2 (-3 + 2 z)), z];

Integrate[z^Range[0, Length[cl] - 1], z].cl


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