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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/01.21.21.0086.01









  


  










Input Form





Integrate[((A + B Sinh[z]) Tanh[z])/(a + b Sinh[z]), z] == (1/(b (a^2 + b^2))) (2 b (A b - a B) ArcTan[Tanh[z/2]] + b (a A + b B) Log[Cosh[z]] + a ((-A) b + a B) Log[a + b Sinh[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