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Tanh






Mathematica Notation

Traditional Notation









Elementary Functions > Tanh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic functions > Involving algebraic functions of cosh > Involving (a+b cosh(2c z))beta





http://functions.wolfram.com/01.21.21.0126.01









  


  










Input Form





Integrate[(a + b Cosh[2 c z])^\[Beta] Tanh[c z], z] == (1/(2 c \[Beta])) (((a + b Cosh[2 c z])^\[Beta] Hypergeometric2F1[-\[Beta], -\[Beta], 1 - \[Beta], ((-a + b) Sech[c z]^2)/(2 b)])/ (1 + ((a - b) Sech[c z]^2)/(2 b))^\[Beta])










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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