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Exp






Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving inverse hyperbolic functions > Involving coth-1





http://functions.wolfram.com/01.03.21.0202.01









  


  










Input Form





Integrate[E^(a ArcCoth[z]), z] == (1/(2 + a)) (E^(a ArcCoth[z]) (a E^(2 ArcCoth[z]) Hypergeometric2F1[1 + a/2, 1, 2 + a/2, E^(2 ArcCoth[z])] + (2 + a) (z + Hypergeometric2F1[a/2, 1, 1 + a/2, E^(2 ArcCoth[z])])))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18