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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 and exponential functions > Involving sin and exp > Involving ep zr sin(b zr)sinh(c zr)





http://functions.wolfram.com/01.19.21.1198.01









  


  










Input Form





Integrate[E^(p Sqrt[z]) Sin[b Sqrt[z]] Sinh[c Sqrt[z]], z] == (1/2) I ((-E^(((-I) b - c + p) Sqrt[z])) (1/(b - I (c - p))^2 + (E^(2 (I b + c) Sqrt[z]) (-1 + (I b + c) Sqrt[z] + p Sqrt[z]))/ (I b + c + p)^2 + Sqrt[z]/((-I) b - c + p)) + E^(((-I) b + c + p) Sqrt[z]) (1/(b + I (c + p))^2 + (E^(2 I (b + I c) Sqrt[z]) (-1 + I (b + I c) Sqrt[z] + p Sqrt[z]))/ (I b - c + p)^2 + Sqrt[z]/((-I) b + c + p)))










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