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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 (a+b cosh(c z))beta





http://functions.wolfram.com/01.22.21.0123.01









  


  










Input Form





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





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