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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 powers of the direct function and hyperbolic functions > Involving powers of sinh > Involving sinhmu(c z)coshv(a z)





http://functions.wolfram.com/01.20.21.4132.01









  


  








Input Form





Integrate[Cosh[a z]^7/Sqrt[Sinh[2 a z]^7], z] == (Sinh[2 a z]^4 (5 ArcCoth[Sqrt[Tanh[a z]]] Sech[a z] - 5 ArcTan[Sqrt[Tanh[a z]]] Sech[a z] + 2 (2 - 3 Cosh[2 a z]) Csch[a z]^3 Sqrt[Tanh[a z]]))/(80 a Sqrt[Sinh[2 a z]^7] Sqrt[Tanh[a 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