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Coth






Mathematica Notation

Traditional Notation









Elementary Functions > Coth[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) coth(c z)





http://functions.wolfram.com/01.22.21.0172.01









  


  










Input Form





Integrate[E^(p z) Cosh[c z]^\[Mu] Coth[c z], z] == (Cosh[c z]^\[Mu] ((E^(p z) AppellF1[-((p + c \[Mu])/(2 c)), -\[Mu], 1, (-c - p + c (3 - \[Mu]))/(2 c), -E^(-2 c z), E^(-2 c z)])/ (c + p + c (-1 + \[Mu])) + (E^((-2 c + p) z) AppellF1[-((-2 c + p + c \[Mu])/(2 c)), -\[Mu], 1, (c - p + c (3 - \[Mu]))/(2 c), -E^(-2 c z), E^(-2 c z)])/ (-c + p + c (-1 + \[Mu]))))/(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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