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Exp




Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving rational functions and power factors > Involving power > Involving z2n da z2+b/z2+c





http://functions.wolfram.com/01.03.21.0224.01









  


  








Input Form





Integrate[z^(2 n) E^(a z^2 + b/z^2 + c), z] == ((E^c Sqrt[Pi])/4) D[(1/Sqrt[-a]) (Erfc[Sqrt[-b]/z - Sqrt[-a] z]/ E^(2 Sqrt[-a] Sqrt[-b]) - E^(2 Sqrt[-a] Sqrt[-b]) Erfc[Sqrt[-b]/z + Sqrt[-a] z]), {a, n}] /; Element[n, Integers] && n >= 0








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