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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving (a+b cosh2(c z))betacosh(d z)





http://functions.wolfram.com/01.20.21.2383.01









  


  








Input Form





Integrate[(a + a Cosh[c z]^2)^\[Beta] Cosh[c z], z] == (1/(2 Sqrt[2] a c (1 + \[Beta]))) ((a (1 + Cosh[c z]^2))^(1 + \[Beta]) Csch[c z] Hypergeometric2F1[1 + \[Beta], 1/2, 2 + \[Beta], (1/4) (3 + Cosh[2 c z])] Sqrt[-Sinh[c z]^2])








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