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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 +b sinh2(e z)+c cosh2(e z))beta





http://functions.wolfram.com/01.20.21.4435.01









  


  








Input Form





Integrate[Cosh[e z] (a + b Sinh[e z]^2 + c Cosh[e z]^2)^\[Beta], z] == ((1/e) Hypergeometric2F1[1/2, -\[Beta], 3/2, -(((b + c) Sinh[e z]^2)/(a + c))] Sinh[e z] (a + c + (b + c) Sinh[e z]^2)^ \[Beta])/(1 + ((b + c) Sinh[e z]^2)/(a + c))^\[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