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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 powers of the direct function and hyperbolic functions > Involving powers of products with cosh > Involving (coshm(c z) tanh(c z))1/2





http://functions.wolfram.com/01.21.21.0329.01









  


  








Input Form





Integrate[Sqrt[Cosh[c z]^m Tanh[c z]], z] == -(Hypergeometric2F1[(1 + m)/4, 1/4, (5 + m)/4, Cosh[c z]^2] Sqrt[Cosh[c z]^(-1 + m) Sinh[c z]] Sinh[2 c z])/ (c (1 + m) (-Sinh[c z]^2)^(3/4))








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