Indefinite integration of equation(adsbygoogle = window.adsbygoogle || []).push({});

[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

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# Mathematica gives a solution in terms of AppellF1 function

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