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Erfc






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Erfc[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/06.27.21.0123.01









  


  










Input Form





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










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





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