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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function and hyperbolic functions > Involving algebraic functions of the direct function and hyperbolic functions > Involving algebraic functions of sinh > Involving (a sinh(e z)+b cosh(e z))beta





http://functions.wolfram.com/01.20.21.4389.01









  


  








Input Form





Integrate[(a Sinh[e z] + b Cosh[e z])^\[Beta], z] == (-(1/(e \[Beta]))) ((((a (-1 + E^(2 e z)) + b (1 + E^(2 e z)))/E^(e z))^ \[Beta] Hypergeometric2F1[-(\[Beta]/2), -\[Beta], (2 - \[Beta])/2, ((a + b) E^(2 e z))/(a - b)])/ (2^\[Beta] (1 + ((a + b) E^(2 e z))/(-a + b))^\[Beta]))








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