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 Exp

 http://functions.wolfram.com/01.03.21.0109.01

 Input Form

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

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox["1", SuperscriptBox["z", "2"]], SuperscriptBox["\[ExponentialE]", RowBox[List["a", " ", SuperscriptBox["z", "2"]]]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox[SuperscriptBox["\[ExponentialE]", RowBox[List["a", " ", SuperscriptBox["z", "2"]]]], "z"]]], "+", RowBox[List[SqrtBox["a"], " ", SqrtBox["\[Pi]"], " ", RowBox[List["Erfi", "[", RowBox[List[SqrtBox["a"], " ", "z"]], "]"]]]]]]]]]]

 MathML Form

 a z 2 z 2 z a π erfi ( a z ) - a z 2 z z a z 2 z 2 -1 a 1 2 1 2 Erfi a 1 2 z -1 a z 2 z -1 [/itex]

 Rule Form

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

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

 2002-12-18