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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function and exponential function > Involving products of the direct function and exponential function > Involving products of two direct functions and exponential function > Involving ep zcosh(b zr)cosh(c z)





http://functions.wolfram.com/01.20.21.2782.01









  


  










Input Form





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