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MathGroup Archive 2003

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  • To: mathgroup at
  • Subject: [mg43939] Integration
  • From: akhmel at (Alex)
  • Date: Tue, 14 Oct 2003 01:07:35 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

I tried to compute some elementary integrals (see below). Mathematica
spent a couple of hours and didn't give any result. Any advice?

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(*CacheID: 232*)

(*NotebookOptionsPosition[      2944,         84]*)
(*NotebookOutlinePosition[      3586,        106]*)
(*  CellTagsIndexPosition[      3542,        102]*)


    \(\(\(f = \(\(\(2\)  \(\[Pi]\)\(\ \)\(b\)\(\ \)\)\/a\) \((3 \( 
                    e\^2\) \((x\/\[Lambda]\^2 + \(\[ImaginaryI]\
\[Lambda]\^2 - e\^2\))\) 
                1\/\(\[Lambda] \((\[Lambda]\^2 - e\^2)\)
\(\@\(\(a\^2\) \
\[Lambda]\^2 - l1\^2\)\) \@\(\(a\^2\) \[Lambda]\^2 - l2\^2\)\) -
\[Lambda]\^2 + \(\[ImaginaryI]\ y\)\/\(\[Lambda]\^2 - e\^2\))\)\^3\)
\) \(\[Lambda]\^3\) \((\[Lambda]\^2 - e\^2)\)\)\/\((\(\@\(\(a\^2\) \
\[Lambda]\^2 - l1\^2\)\) \@\(\(a\^2\) \[Lambda]\^2 -
    \)\), "\[IndentingNewLine]", 
    \(Integrate[f, {\[Lambda], \[Xi], \[Infinity]}]\)}], "Input"],

    \(Sum::"div" \(\(:\)\(\ \)\) "Sum does not converge."\)],

    \(Sum::"div" \(\(:\)\(\ \)\) "Sum does not converge."\)],

    \(Sum::"div" \(\(:\)\(\ \)\) "Sum does not converge."\)],

    \(General::"stop" \(\(:\)\(\ \)\) 
      "Further output of \!\(Sum :: \"div\"\) will be suppressed
during this \
calculation."\)], "Message"],

    \($Aborted\)], "Output"]
}, Open  ]]
FrontEndVersion->"4.2 for Microsoft Windows",
ScreenRectangle->{{0, 720}, {0, 407}},
WindowSize->{683, 346},
WindowMargins->{{0, Automatic}, {Automatic, 0}}

Cached data follows.  If you edit this Notebook file directly, not
using Mathematica, you must remove the line containing CacheID at
the top of  the file.  The cache data will then be recreated when
you save this file from within Mathematica.




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Cell[2456, 66, 86, 1, 24, "Message"],
Cell[2545, 69, 86, 1, 24, "Message"],
Cell[2634, 72, 86, 1, 24, "Message"],
Cell[2723, 75, 160, 3, 42, "Message"],
Cell[2886, 80, 42, 1, 29, "Output"]
}, Open  ]]

End of Mathematica Notebook file.


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