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Sinh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.19.21.0447.01









  


  








Input Form





Integrate[Sinh[a ArcCsch[z]], z] == (1/(-1 + a^2)) (((-a) (1 + a) E^ArcCsch[z] Hypergeometric2F1[1/2 - a/2, 1, 3/2 - a/2, E^(2 ArcCsch[z])] + (-1 + a) E^(a ArcCsch[z]) (a E^((1 + a) ArcCsch[z]) Hypergeometric2F1[(1 + a)/2, 1, (3 + a)/2, E^(2 ArcCsch[z])] + (1 + a) z Sinh[a ArcCsch[z]]))/E^(a ArcCsch[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