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Coth




Mathematica Notation

Traditional Notation









Elementary Functions > Coth[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic functions > Involving algebraic functions of cosh > Involving cosh(2c z)(a+b cosh(2c z))beta





http://functions.wolfram.com/01.22.21.0141.01









  


  








Input Form





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