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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/01.21.21.0154.01









  


  










Input Form





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