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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function > Involving algebraic functions of exp > Involving (a+b ed z)beta sinh(c +ez)





http://functions.wolfram.com/01.19.21.0271.01









  


  










Input Form





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










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