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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/01.19.21.0302.01









  


  










Input Form





Integrate[z^(3/2) E^(b z) Sinh[c z], z] == (1/8) z^(5/2) (-((2 E^((b - c) z) (-3 + 2 b z - 2 c z))/((b - c)^2 z^2)) + (2 E^((b + c) z) (-3 + 2 (b + c) z))/((b + c)^2 z^2) + 3 Sqrt[Pi] (Sqrt[(-b + c) z]/((-b + c)^3 z^3) - 1/((-(b + c)) z)^(5/2)) - (3 Sqrt[Pi] Erf[Sqrt[(-b + c) z]])/((-b + c) z)^(5/2) + (3 Sqrt[Pi] Erf[Sqrt[(-(b + c)) z]])/((-(b + c)) z)^(5/2))










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