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Tanh






Mathematica Notation

Traditional Notation









Elementary Functions > Tanh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving ((a+b tanh(c z))n)beta





http://functions.wolfram.com/01.21.21.0236.01









  


  










Input Form





Integrate[Sqrt[(a + b Tanh[c z])^3], z] == (Cosh[c z] Sqrt[(a + b Tanh[c z])^3] ((-(a - b)^2) Sqrt[a + b] ArcTanh[Sqrt[a + b Tanh[c z]]/Sqrt[a - b]] Cosh[c z] Sqrt[a + b Tanh[c z]] + Sqrt[a - b] (-2 b Sqrt[a + b] (a Cosh[c z] + b Sinh[c z]) + (a + b)^2 ArcTanh[Sqrt[a + b Tanh[c z]]/Sqrt[a + b]] Cosh[c z] Sqrt[a + b Tanh[c z]])))/(Sqrt[a - b] Sqrt[a + b] c (a Cosh[c z] + b Sinh[c z])^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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