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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 cosh and tanh





http://functions.wolfram.com/01.22.21.0157.01









  


  










Input Form





Integrate[(A + B Tanh[z] + C Coth[z])/(a + b Cosh[z]), z] == (2 Cosh[z] (-((2 A ArcTan[((a - b) Tanh[z/2])/Sqrt[-a^2 + b^2]])/ Sqrt[-a^2 + b^2]) + (C Log[Cosh[z/2]])/(a - b) + (B Log[Cosh[z]])/a - (((-b^2) B + a^2 (B + C)) Log[a + b Cosh[z]])/(a^3 - a b^2) + (C Log[Sinh[z/2]])/(a + b)) Sinh[z] (A + C Coth[z] + B Tanh[z]))/ (-B + C + (B + C) Cosh[2 z] + A Sinh[2 z])










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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