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 ArcTan

 http://functions.wolfram.com/01.14.21.0018.01

 Input Form

 Integrate[Log[t] ArcTan[t], {t, 0, 1}] == (1/48) (24 Log[2] + Pi^2 - 12 Pi)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[RowBox[List["Log", "[", "t", "]"]], " ", RowBox[List["ArcTan", "[", "t", "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", RowBox[List[FractionBox["1", "48"], " ", RowBox[List["(", RowBox[List[RowBox[List["24", " ", RowBox[List["Log", "[", "2", "]"]]]], "+", SuperscriptBox["\[Pi]", "2"], "-", RowBox[List["12", " ", "\[Pi]"]]]], ")"]]]]]]]]

 MathML Form

 0 1 log ( t ) tan - 1 ( t ) t 1 48 ( 24 log ( 2 ) + π 2 - 12 π ) t 0 1 t t 1 48 24 2 2 -1 12 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[RowBox[List[RowBox[List["Log", "[", "t_", "]"]], " ", RowBox[List["ArcTan", "[", "t_", "]"]]]], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "48"], " ", RowBox[List["(", RowBox[List[RowBox[List["24", " ", RowBox[List["Log", "[", "2", "]"]]]], "+", SuperscriptBox["\[Pi]", "2"], "-", RowBox[List["12", " ", "\[Pi]"]]]], ")"]]]]]]]]

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

 2001-10-29