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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 cos and exp > Involving ep zr cos(b zr)sinh(c z)





http://functions.wolfram.com/01.19.21.1260.01









  


  








Input Form





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








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