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Tanh






Mathematica Notation

Traditional Notation









Elementary Functions > Tanh[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/01.21.21.0087.01









  


  










Input Form





Integrate[Tanh[c z]/(a + b Sinh[c z])^2, z] == (a (a^2 + b^2 + 4 a b ArcTan[Tanh[(c z)/2]] + (a^2 - b^2) Log[Cosh[c z]] - a^2 Log[a + b Sinh[c z]] + b^2 Log[a + b Sinh[c z]]) + b (4 a b ArcTan[Tanh[(c z)/2]] + (a^2 - b^2) (Log[Cosh[c z]] - Log[a + b Sinh[c z]])) Sinh[c z])/((a^2 + b^2)^2 c (a + b 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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