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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 z cos(b z)sinh(c zr)





http://functions.wolfram.com/01.19.21.1265.01









  


  








Input Form





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