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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 zr)cosh(c zr)





http://functions.wolfram.com/01.20.21.1825.01









  


  








Input Form





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








Standard Form





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MathML Form







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</apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18