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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 exp > Involving ab zr+e sinh(c z)





http://functions.wolfram.com/01.19.21.0185.01









  


  










Input Form





Integrate[a^(b Sqrt[z] + e) Sinh[c z], z] == (1/2) a^e (a^(b Sqrt[z])/(E^(c z) c) + (a^(b Sqrt[z]) E^(c z))/c + ((1/2) b Sqrt[Pi] (Erf[(-2 c Sqrt[z] - b Log[a])/(2 Sqrt[-c])]/ (-c)^(3/2) - (E^((b^2 Log[a]^2)/(2 c)) Erf[(2 c Sqrt[z] - b Log[a])/ (2 Sqrt[c])])/c^(3/2)) Log[a])/E^((b^2 Log[a]^2)/(4 c)))










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