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Tanh






Mathematica Notation

Traditional Notation









Elementary Functions > Tanh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving inverse trigonometric functions > Involving sin-1





http://functions.wolfram.com/01.21.21.0028.01









  


  










Input Form





Integrate[Tanh[ArcSin[z]], z] == ((1/10) (-5 I Hypergeometric2F1[-(I/2), 1, 1 - I/2, -E^(2 ArcSin[z])] + 5 I E^(2 I ArcSin[z]) Hypergeometric2F1[I/2, 1, 1 + I/2, -E^(2 ArcSin[z])] + (2 + I) E^(2 ArcSin[z]) Hypergeometric2F1[1 - I/2, 1, 2 - I/2, -E^(2 ArcSin[z])] + (2 - I) E^((2 + 2 I) ArcSin[z]) Hypergeometric2F1[1 + I/2, 1, 2 + I/2, -E^(2 ArcSin[z])]))/ E^(I ArcSin[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