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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 tanh2(c z))n)beta





http://functions.wolfram.com/01.21.21.0249.01









  


  








Input Form





Integrate[1/Sqrt[(a + b Tanh[c z]^2)^3], z] == (Sech[c z]^2 (Sqrt[2] (a - b + (a + b) Cosh[2 c z])^(3/2) Csch[2 c z] Log[Sqrt[a - b + (a + b) Cosh[2 c z]] + Sqrt[2] Sqrt[(a + b) Sinh[c z]^2]] Sqrt[(a + b) Sinh[c z]^2] + (b (a + b) (a - b + (a + b) Cosh[2 c z]) Tanh[c z])/a))/ (2 (a + b)^2 c Sqrt[(a + b Tanh[c z]^2)^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