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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 z sin(b zr)sinh(c zr)





http://functions.wolfram.com/01.19.21.1195.01









  


  










Input Form





Integrate[E^(p z) Sin[b Sqrt[z]] Sinh[c Sqrt[z]], z] == (-(1/8)) I ((8 I E^(p z) Sin[b Sqrt[z]] Sinh[c Sqrt[z]])/p + ((b + I c) E^((b + I c)^2/(4 p)) Sqrt[Pi] Erf[(-b - I c - 2 I p Sqrt[z])/(2 Sqrt[p])])/p^(3/2) + ((b - I c) E^((-b + I c)^2/(4 p)) Sqrt[Pi] Erf[(b - I c - 2 I p Sqrt[z])/(2 Sqrt[p])])/p^(3/2) + ((b - I c) E^((b - I c)^2/(4 p)) Sqrt[Pi] Erf[(b - I c + 2 I p Sqrt[z])/(2 Sqrt[p])])/p^(3/2) + (I (b + I c) E^((b + I c)^2/(4 p)) Sqrt[Pi] Erfi[(I b - c + 2 p Sqrt[z])/(2 Sqrt[p])])/p^(3/2))










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