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Sech






Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Integration > Indefinite integration > Involving functions of the direct function and hyperbolic functions > Involving powers of the direct function and hyperbolic functions > Involving sinh > Involving sinh(b z)





http://functions.wolfram.com/01.24.21.0376.01









  


  










Input Form





Integrate[Sinh[c \[Nu] z] Sech[c z]^\[Nu], z] == (1/2) (1 + E^(2 c z))^\[Nu] Sech[c z]^\[Nu] ((-E^((-c) \[Nu] z)) z + (E^(c \[Nu] z) HypergeometricPFQ[{\[Nu], \[Nu]}, {1 + \[Nu]}, -E^(2 c z)])/ (2 c \[Nu]) + ((1/(2 c)) \[Nu] HypergeometricPFQ[{1, 1, 1 + \[Nu]}, {2, 2}, -E^(2 c z)])/E^(c (-2 + \[Nu]) 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