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Cosh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.20.21.0429.01









  


  








Input Form





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