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Erfc






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Erfc[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power





http://functions.wolfram.com/06.27.21.0024.01









  


  










Input Form





Integrate[z^3 E^(b z^2) Erfc[a z], z] == (1/(2 b^2)) (-((a b z^3 (Sqrt[Pi] + 2 E^((-a^2 + b) z^2) Sqrt[(a^2 - b) z^2] - Sqrt[Pi] Erf[Sqrt[(a^2 - b) z^2]]))/(2 Sqrt[Pi] ((a^2 - b) z^2)^(3/2))) + E^(b z^2) (-1 + b z^2) Erfc[a z] - (a Erfi[Sqrt[-a^2 + b] z])/Sqrt[-a^2 + b])










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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