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 Catalan

 http://functions.wolfram.com/02.07.07.0045.01

 Input Form

 Catalan == (Pi/4) Log[2] + 2 Integrate[Log[Cos[t] + Sin[t]], {t, 0, Pi/4}]

 Standard Form

 Cell[BoxData[RowBox[List["Catalan", "\[Equal]", RowBox[List[RowBox[List[FractionBox["\[Pi]", "4"], " ", RowBox[List["Log", "[", "2", "]"]]]], "+", RowBox[List["2", " ", RowBox[List[SubsuperscriptBox["\[Integral]", "0", FractionBox["\[Pi]", "4"]], RowBox[List[RowBox[List["Log", "[", RowBox[List[RowBox[List["Cos", "[", "t", "]"]], "+", RowBox[List["Sin", "[", "t", "]"]]]], "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]]]]]]

 MathML Form

 C TagBox["C", Function[Catalan]] 2 0 π 4 log ( cos ( t ) + sin ( t ) ) t + π 4 log ( 2 ) Catalan 2 t 0 4 -1 t t 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["2", " ", RowBox[List[SubsuperscriptBox["\[Integral]", "0", FractionBox["\[Pi]", "4"]], RowBox[List[RowBox[List["Log", "[", RowBox[List[RowBox[List["Cos", "[", "t", "]"]], "+", RowBox[List["Sin", "[", "t", "]"]]]], "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]]]]]]

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

 2001-10-29