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Cos




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.07.21.0503.01









  


  








Input Form





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