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Coth






Mathematica Notation

Traditional Notation









Elementary Functions > Coth[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving rational functions of the direct function > Involving (a+b coth2(c z))-n





http://functions.wolfram.com/01.22.21.0255.01









  


  










Input Form





Integrate[1/(a + b Coth[c z]^2)^2, z] == ((-a + b + (a + b) Cosh[2 c z]) Csch[c z]^4 (2 z (-a + b + (a + b) Cosh[2 c z]) - (1/(a^(3/2) c)) (Sqrt[b] (3 a + b) ArcTan[(Sqrt[a] Tanh[c z])/Sqrt[b]] (-a + b + (a + b) Cosh[2 c z])) + (b (a + b) Sinh[2 c z])/(a c)))/ (8 (a + b)^2 (a + b Coth[c z]^2)^2)










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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