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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/01.19.21.0308.01









  


  










Input Form





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