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MathGroup Archive 2003

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Re: Integration

  • To: mathgroup at smc.vnet.net
  • Subject: [mg44277] Re: Integration
  • From: akhmel at hotmail.com (Alex)
  • Date: Tue, 4 Nov 2003 03:23:48 -0500 (EST)
  • References: <bmg0li$e9k$1@smc.vnet.net> <bmj2os$prs$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

> Does that help any?


You ask if your advice helps.  Well, you could check it yourself,
don't you have Mathematika?

The notation makes no difference, I can just write the full expression
inside "Integrate", as I did below:

Notebook[{

Cell[CellGroupData[{
Cell[BoxData[
    \(Integrate[\(\(2  \[Pi]\ b\)\/a\) \((\(\(3 
                     e\^2\)\/\(\[Lambda] \((\[Lambda]\^2 - 
                        e\^2)\) \(\@\(\(a\^2\) \[Lambda]\^2 - 
                          l1\^2\)\) \@\(\(a\^2\) \[Lambda]\^2 -
l2\^2\)\)\) \
\((x\/\[Lambda]\^2 + \(\[ImaginaryI]  y\)\/\(\[Lambda]\^2 - e\^2\))\)
- \
\(\((x\/\[Lambda]\^2 + \(\[ImaginaryI]  y\)\/\(\[Lambda]\^2 -
e\^2\))\)\^3\) \
\((\(a\^2\) \(\[Lambda]\^3\) \((\[Lambda]\^2 -
e\^2)\))\)\/\((\(\@\(\(a\^2\) \
\[Lambda]\^2 - l1\^2\)\) \@\(\(a\^2\) \[Lambda]\^2 - l2\^2\))\)\^3)\),
{\
\[Lambda], \[Xi], \[CapitalXi]}]\)], "Input"],

Wolfram proudly declares that his Mathematika can handle any integral
computable in terms of elementary functions.  Well, here is one, which
it can not handle, and I am pretty sure, this is not the only one.

Alex


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