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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[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(c z+d)coshv(a z)





http://functions.wolfram.com/01.20.21.4039.01









  


  










Input Form





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