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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 and exponential functions > Involving cosh and exp > Involving ep zcosh(b z) tanh( c z)





http://functions.wolfram.com/01.21.21.0155.01









  


  










Input Form





Integrate[(Cosh[b z] Tanh[c z])/E^(b z), z] == (1/(4 b c (-b + c))) ((b c E^(2 c z) Hypergeometric2F1[1 - b/c, 1, 2 - b/c, -E^(2 c z)] - (b - c) (c Hypergeometric2F1[-(b/c), 1, 1 - b/c, -E^(2 c z)] + 2 b E^(2 b z) Log[Cosh[c z]]))/E^(2 b 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