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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 sinh and exp > Involving ep z sinhu(b z) coth(c z)





http://functions.wolfram.com/01.22.21.0166.01









  


  










Input Form





Integrate[E^(p z) Sinh[c z]^\[Mu] Coth[c z], z] == ((-2^(-\[Mu])) (-E^((-c) z) + E^(c z))^\[Mu] ((E^(p z) Hypergeometric2F1[(p - c \[Mu])/(2 c), 1 - \[Mu], (2 c + p - c \[Mu])/(2 c), E^(2 c z)])/(p - c \[Mu]) + (E^((2 c + p) z) Hypergeometric2F1[(2 c + p - c \[Mu])/(2 c), 1 - \[Mu], (4 c + p - c \[Mu])/(2 c), E^(2 c z)])/(2 c + p - c \[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