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Sech






Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Integration > Indefinite integration > Involving functions of the direct function, hyperbolic and exponential functions > Involving powers of the direct function, hyperbolic and exponential functions > Involving powers of cosh and exp > Involving ep z coshu(b z) sechnu(c z)





http://functions.wolfram.com/01.24.21.0502.01









  


  










Input Form





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










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