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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[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)cosh(c z)





http://functions.wolfram.com/01.20.21.1261.01









  


  










Input Form





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