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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/01.24.21.0375.01









  


  










Input Form





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