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 Catalan

 http://functions.wolfram.com/02.07.07.0033.01

 Input Form

 Catalan == (Pi/4) Log[2] + (1/2) Integrate[Log[1 + t]/Sqrt[1 - t^2], {t, 0, 1}]

 Standard Form

 Cell[BoxData[RowBox[List["Catalan", "\[Equal]", RowBox[List[RowBox[List[FractionBox["\[Pi]", "4"], " ", RowBox[List["Log", "[", "2", "]"]]]], "+", RowBox[List[FractionBox["1", "2"], " ", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox[RowBox[List["Log", "[", RowBox[List["1", "+", "t"]], "]"]], SqrtBox[RowBox[List["1", "-", SuperscriptBox["t", "2"]]]]], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]]]]]]

 MathML Form

 C TagBox["C", Function[Catalan]] 1 2 0 1 log ( t + 1 ) 1 - t 2 t + π 4 log ( 2 ) Catalan 1 2 t 0 1 t 1 1 -1 t 2 1 2 -1 4 -1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "Catalan", "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["1", "4"], " ", "\[Pi]", " ", RowBox[List["Log", "[", "2", "]"]]]], "+", RowBox[List[FractionBox["1", "2"], " ", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox[RowBox[List["Log", "[", RowBox[List["1", "+", "t"]], "]"]], SqrtBox[RowBox[List["1", "-", SuperscriptBox["t", "2"]]]]], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]]]]]]

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

 2001-10-29