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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 z)sinh(c zr)





http://functions.wolfram.com/01.19.21.1267.01









  


  








Input Form





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