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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 tanh > Involving tanh(c z) sechv( c z)





http://functions.wolfram.com/01.24.21.0404.01









  


  










Input Form





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