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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/01.21.21.0252.01









  


  








Input Form





Integrate[Tanh[c z] Sqrt[(a + b Tanh[c z]^2)^3], z] == (Csch[c z]^2 Sech[c z]^2 (-4 (a + b) Cosh[c z]^4 (4 Sqrt[a - b + (a + b) Cosh[2 c z]] - 3 Sqrt[2] Sqrt[(a + b) Cosh[c z]^2] Log[Sqrt[2] Sqrt[(a + b) Cosh[c z]^2] + Sqrt[a - b + (a + b) Cosh[2 c z]]]) Sinh[c z]^2 + b Sqrt[a - b + (a + b) Cosh[2 c z]] Sinh[2 c z]^2) Sqrt[(a + b Tanh[c z]^2)^3])/(6 c (a - b + (a + b) Cosh[2 c z])^(3/2))








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