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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/01.21.21.0240.01









  


  










Input Form





Integrate[Tanh[c z]/Sqrt[(a + b Tanh[c z])^3], z] == -((a + b Tanh[c z]) ((a + b) (1 - (ArcTanh[Sqrt[a + b Tanh[c z]]/Sqrt[a - b]] Sqrt[a + b Tanh[c z]])/Sqrt[a - b]) + (a - b) (1 - (ArcTanh[Sqrt[a + b Tanh[c z]]/Sqrt[a + b]] Sqrt[a + b Tanh[c z]])/Sqrt[a + b])))/ ((a - b) (a + b) c Sqrt[(a + b Tanh[c z])^3])










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