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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic and exponential functions > Involving sinh and exp > Involving ep z sinh(b z)cosh(c zr)





http://functions.wolfram.com/01.20.21.1821.01









  


  








Input Form





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