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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 zr)sinh(c z)





http://functions.wolfram.com/01.19.21.1263.01









  


  










Input Form





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










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