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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+e sinh(c z)





http://functions.wolfram.com/01.19.21.0345.01









  


  










Input Form





Integrate[(E^(b z + e) Sinh[c z])/z^(7/2), z] == (1/(15 z^(5/2))) (E^e (3 E^((b - c) z) - 3 E^((b + c) z) + 2 (b - c) E^((b - c) z) z - 2 (b + c) E^((b + c) z) z + 4 (b - c)^2 E^((b - c) z) z^2 - 4 (b + c)^2 E^((b + c) z) z^2 - 4 Sqrt[Pi] ((-b + c) z)^(5/2) + 4 Sqrt[Pi] ((-(b + c)) z)^(5/2) + 4 Sqrt[Pi] ((-b + c) z)^(5/2) Erf[Sqrt[(-b + c) z]] - 4 Sqrt[Pi] ((-(b + c)) z)^(5/2) Erf[Sqrt[(-(b + c)) z]]))










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