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 Erf

 http://functions.wolfram.com/06.25.21.0014.01

 Input Form

 Integrate[Erf[a z]/E^(a^2 z^2), z] == (Sqrt[Pi] Erf[a z]^2)/(4 a)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", SuperscriptBox["a", "2"]]], " ", SuperscriptBox["z", "2"]]]], " ", RowBox[List["Erf", "[", RowBox[List["a", " ", "z"]], "]"]]]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List[SqrtBox["\[Pi]"], " ", SuperscriptBox[RowBox[List["Erf", "[", RowBox[List["a", " ", "z"]], "]"]], "2"]]], RowBox[List["4", " ", "a"]]]]]]]

 MathML Form

 - a 2 z 2 erf ( a z ) z π erf ( a z ) 2 4 a z -1 a 2 z 2 Erf a z 1 2 Erf a z 2 4 a -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", SuperscriptBox["a_", "2"]]], " ", SuperscriptBox["z_", "2"]]]], " ", RowBox[List["Erf", "[", RowBox[List["a_", " ", "z_"]], "]"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SqrtBox["\[Pi]"], " ", SuperscriptBox[RowBox[List["Erf", "[", RowBox[List["a", " ", "z"]], "]"]], "2"]]], RowBox[List["4", " ", "a"]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29