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Mathematica gives a solution in terms of AppellF1 function

  1. Jul 30, 2009 #1
    Indefinite integration of equation

    [1/Sqrt (a+2 CoshY)] dY

    in Mathematica gives a solution in terms of AppellF1 function as

    AppellF1[0.5, 0.5, 0.5, 1.5, (a + 2 Cosh Y)/(a + 2), ( a + 2 Cosh Y)/(a - 2)]
    Sqrt[(2- 2 Cosh Y)/(2+ a)] Sqrt[( 2 + 2 Cosh Y)/(2- a)] Sqrt[a + 2 Cosh Y] Csch Y

    Can anybody help me how this integral leads to this solution? That is I would like to know the intermediate steps or transformations between the two entries if anybody could help.

    Thank you in advance

    Oguz
     
  2. jcsd
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