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Cosh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.20.21.4729.01









  


  








Input Form





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