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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 rational functions of sinh > Involving (a+b sinh(c z))-n





http://functions.wolfram.com/01.22.21.0085.01









  


  








Input Form





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