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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 zr cos(b z)cosh(c zr)





http://functions.wolfram.com/01.20.21.1265.01









  


  








Input Form





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