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Cot






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.09.21.0036.01









  


  










Input Form





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