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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 powers of cosh and exp > Involving ep z coshu(b z) tanh(c z)





http://functions.wolfram.com/01.21.21.0158.01









  


  










Input Form





Integrate[E^(p z) Cosh[c z]^\[Mu] Tanh[c z], z] == (Cosh[c z]^\[Mu] ((-(1/(p - c \[Mu]))) E^(p z) Hypergeometric2F1[ (p - c \[Mu])/(2 c), 1 - \[Mu], 1 + (p - c \[Mu])/(2 c), -E^(2 c z)] + (1/(2 c + p - c \[Mu])) E^((2 c + p) z) Hypergeometric2F1[ 1 + (p - c \[Mu])/(2 c), 1 - \[Mu], 2 + (p - c \[Mu])/(2 c), -E^(2 c z)]))/(1 + E^(2 c z))^\[Mu]










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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