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Tanh






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.21.21.0360.01









  


  










Input Form





Integrate[Cosh[c z] (a + b Tanh[c z])^\[Beta], z] == (AppellF1[1 + \[Beta], 3/2, 3/2, 2 + \[Beta], (a + b Tanh[c z])/(a - b), (a + b Tanh[c z])/(a + b)] Cosh[c z] ((b (1 + Tanh[c z]))/(-a + b))^(3/2) Sqrt[(b - b Tanh[c z])/(a + b)] (a + b Tanh[c z])^(1 + \[Beta]))/ ((a + b) c (1 + \[Beta]) (1 + Tanh[c 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





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