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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 csc-1





http://functions.wolfram.com/01.20.21.0434.01









  


  








Input Form





Integrate[Cosh[a ArcCsc[z]], z] == (1/(2 (1 + a^2))) ((2 (1 + I a) a E^((I + 2 a) ArcCsc[z]) Hypergeometric2F1[1/2 - (I a)/2, 1, 3/2 - (I a)/2, E^(2 I ArcCsc[z])] + (I + a) ((-I + a) (1 + E^(2 a ArcCsc[z])) z + 2 I a E^(I ArcCsc[z]) Hypergeometric2F1[1/2 + (I a)/2, 1, 3/2 + (I a)/2, E^(2 I ArcCsc[z])]))/E^(a ArcCsc[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