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Exp




Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving powers of the direct function > Involving powers of exp > With arguments a z2+b/z2





http://functions.wolfram.com/01.03.21.0261.01









  


  








Input Form





Integrate[(E^(a z^2 + b/z^2))^\[Nu], z] == (1/(4 Sqrt[(-a) \[Nu]])) (E^(-(((b + a z^4) \[Nu])/z^2) - 2 Sqrt[(-a) \[Nu]] Sqrt[(-b) \[Nu]]) (E^(b/z^2 + a z^2))^\[Nu] Sqrt[Pi] (1 + Erf[z Sqrt[(-a) \[Nu]] - Sqrt[(-b) \[Nu]]/z] + E^(4 Sqrt[(-a) \[Nu]] Sqrt[(-b) \[Nu]]) (-1 + Erf[z Sqrt[(-a) \[Nu]] + Sqrt[(-b) \[Nu]]/z])))








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