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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 ad z+e sinh(c zr)





http://functions.wolfram.com/01.19.21.0217.01









  


  










Input Form





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










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