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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving functions of the direct function and exponential function > Involving products of the direct function and exponential function > Involving products of two direct functions and exponential function > Involving ep z sinh(b zr)sinh(c zr)





http://functions.wolfram.com/01.19.21.2183.01









  


  










Input Form





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