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Erfi






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Erfi[z] > Integration > Indefinite integration > Involving functions of the direct function and elementary functions > Involving elementary functions of the direct function and elementary functions > Involving powers of the direct function and a power function





http://functions.wolfram.com/06.28.21.0124.01









  


  










Input Form





Integrate[z^2 Erfi[a z]^2, z] == (1/12) (4 z^3 Erfi[a z]^2 + (1/(a^3 Pi)) (4 a E^(2 a^2 z^2) z - 8 E^(a^2 z^2) Sqrt[Pi] (-1 + a^2 z^2) Erfi[a z] - 5 Sqrt[2 Pi] Erfi[Sqrt[2] a 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)





2001-10-29