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Exp






Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving products of powers of the direct function > Involving product of powers of two direct functions > Involving (ed z)mu (ec zr+f z)nu





http://functions.wolfram.com/01.03.21.0399.01









  


  










Input Form





Integrate[(E^(d z))^\[Mu] (E^(Sqrt[z] c + f z))^\[Nu], z] == (1/(2 (d \[Mu] + f \[Nu])^(3/2))) (((E^(d z))^\[Mu] (E^(c Sqrt[z] + f z))^\[Nu] (2 E^((2 d Sqrt[z] \[Mu] + c \[Nu] + 2 f Sqrt[z] \[Nu])^2/ (4 (d \[Mu] + f \[Nu]))) Sqrt[d \[Mu] + f \[Nu]] - c Sqrt[Pi] \[Nu] Erfi[(2 d Sqrt[z] \[Mu] + c \[Nu] + 2 f Sqrt[z] \[Nu])/ (2 Sqrt[d \[Mu] + f \[Nu]])]))/ E^((2 d Sqrt[z] \[Mu] + (c + 2 f Sqrt[z]) \[Nu])^2/ (4 (d \[Mu] + f \[Nu]))))










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