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Coth






Mathematica Notation

Traditional Notation









Elementary Functions > Coth[z] > Integration > Indefinite integration > Involving functions of the direct function and hyperbolic functions > Involving rational functions of the direct function and hyperbolic functions > Involving rational functions of cosh > Involving (a cosh(c z)+b coth(c z))-n





http://functions.wolfram.com/01.22.21.0388.01









  


  










Input Form





Integrate[1/(a Cosh[c z] + b Coth[c z])^2, z] == (((-a) b^2 Cosh[c z] Coth[c z] + (1/Sqrt[-a^2 - b^2]) (2 b (-2 a^2 + b^2) ArcTan[(a - b Tanh[(c z)/2])/Sqrt[-a^2 - b^2]] Coth[c z] (b + a Sinh[c z])) + Csch[c z] (b + a Sinh[c z]) (-2 a b + (a^2 - b^2) Sinh[c z])) Tanh[c z])/ ((a^2 + b^2)^2 c (b + a Sinh[c 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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