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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric, exponential and a power functions > Involving sin, exp and power > Involving zalpha-1ep zr sin(b zr)sinh(c zr)





http://functions.wolfram.com/01.19.21.1369.01









  


  










Input Form





Integrate[z^n E^(p Sqrt[z]) Sin[b Sqrt[z]] Sinh[c Sqrt[z]], z] == (1/2) I (Gamma[2 (1 + n), ((-I) b - c - p) Sqrt[z]]/ ((-I) b - c - p)^(2 (1 + n)) - Gamma[2 (1 + n), (I b - c - p) Sqrt[z]]/ (I b - c - p)^(2 (1 + n)) - Gamma[2 (1 + n), ((-I) b + c - p) Sqrt[z]]/ ((-I) b + c - p)^(2 (1 + n)) + Gamma[2 (1 + n), (I b + c - p) Sqrt[z]]/ (I b + c - p)^(2 (1 + n))) /; Element[n, Integers] && n >= 0










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