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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/06.25.21.0017.01









  


  










Input Form





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