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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(2c z))beta





http://functions.wolfram.com/01.22.21.0130.01









  


  








Input Form





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








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