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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/01.20.21.4391.01









  


  








Input Form





Integrate[1/Sqrt[a Sinh[e z] + b Cosh[e z]], z] == (1/(a Sqrt[1 - b^2/a^2] e)) (2 Sqrt[Cosh[e z + ArcTanh[b/a]]^2] HypergeometricPFQ[{1/4, 1/2}, {5/4}, -Sinh[e z + ArcTanh[b/a]]^2] Sech[e z + ArcTanh[b/a]] Sqrt[b Cosh[e z] + a Sinh[e 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