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 Erf

 http://functions.wolfram.com/06.25.07.0002.01

 Input Form

 Erf[x] == (2/Pi) Integrate[Sin[2 x t]/(E^t^2 t), {t, 0, Infinity}] /; Element[x, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Erf", "[", "x", "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["2", " "]], "\[Pi]"], RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["-", SuperscriptBox["t", "2"]]]], " ", RowBox[List["Sin", "[", RowBox[List["2", " ", "x", " ", "t"]], "]"]]]], "t"], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]], "/;", " ", RowBox[List["x", "\[Element]", "Reals"]]]]]]

 MathML Form

 erf ( x ) 2 π 0 - t 2 sin ( 2 x t ) t t /; x TagBox["\[DoubleStruckCapitalR]", Function[Reals]] Condition Erf x 2 -1 t 0 -1 t 2 2 x t t -1 x [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Erf", "[", "x_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["2", " ", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["-", SuperscriptBox["t", "2"]]]], " ", RowBox[List["Sin", "[", RowBox[List["2", " ", "x", " ", "t"]], "]"]]]], "t"], RowBox[List["\[DifferentialD]", "t"]]]]]]]], "\[Pi]"], "/;", RowBox[List["x", "\[Element]", "Reals"]]]]]]]]

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

 2001-10-29