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variants of this functions
Erf






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Erf[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/06.25.21.0019.01









  


  










Input Form





Integrate[z^3 E^(b z) Erf[a z], z] == (1/(8 a^6 b^4 Sqrt[Pi])) ((2 a b E^(b z) (b^4 + 2 a^2 b^2 (-1 + b z) + 4 a^4 (6 - 3 b z + b^2 z^2)) + 8 a^6 E^(z (b + a^2 z)) Sqrt[Pi] (-6 + 6 b z - 3 b^2 z^2 + b^3 z^3) Erf[a z] - (48 a^6 - 12 a^4 b^2 - b^6) E^(b^2/(4 a^2) + a^2 z^2) Sqrt[Pi] Erf[b/(2 a) - a z])/E^(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