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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 and a power function > Involving exp and power > Involving zalpha-1 eb z sinh(c z)





http://functions.wolfram.com/01.19.21.0301.01









  


  










Input Form





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










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