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 EulerGamma

 http://functions.wolfram.com/02.06.07.0013.01

 Input Form

 EulerGamma == 1/2 + 2 Integrate[t/((t^2 + 1) (E^(2 Pi t) - 1)), {t, 0, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List["EulerGamma", "\[Equal]", RowBox[List[FractionBox["1", "2"], "+", RowBox[List["2", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[FractionBox["t", RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["t", "2"], "+", "1"]], ")"]], RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["2", "\[Pi]", " ", "t"]]], "-", "1"]], ")"]]]]], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]]]]]]

 MathML Form

 TagBox["\[DoubledGamma]", Function[EulerGamma]] 1 2 + 2 0 t ( t 2 + 1 ) ( 2 π t - 1 ) t 1 2 2 t 0 t t 2 1 2 t -1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "EulerGamma", "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], "+", RowBox[List["2", " ", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[FractionBox["t", RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["t", "2"], "+", "1"]], ")"]], " ", RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[Pi]", " ", "t"]]], "-", "1"]], ")"]]]]], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]]]]]]

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

 2001-10-29