(************** Content-type: application/mathematica ************** Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 78593, 1674]*) (*NotebookOutlinePosition[ 79298, 1698]*) (* CellTagsIndexPosition[ 79254, 1694]*) (*WindowFrame->Normal*) Notebook[{ Cell[BoxData[ RowBox[{ StyleBox["\:56f38", FontSize->18], StyleBox[".1", FontSize->18], " "}]], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(Table[\[Integral]\_0\%1 x \((1 - x)\)\ Sin[\ n\ \[Pi]\ x] \[DifferentialD]x\ , {n, 0, 6}] // Simplify\)], "Input"], Cell[BoxData[ \({0, 4\/\[Pi]\^3, 0, 4\/\(27\ \[Pi]\^3\), 0, 4\/\(125\ \[Pi]\^3\), 0}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Table[\(2\/Sinh[n\ \[Pi]]\) 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