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 Catalan

 http://functions.wolfram.com/02.07.07.0024.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29

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