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 ArcTan

 http://functions.wolfram.com/01.15.21.0001.01

 Input Form

 Integrate[ArcTan[x, y], x] == x ArcTan[x, y] + (1/2) y Log[x^2 + y^2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["ArcTan", "[", RowBox[List["x", ",", "y"]], "]"]], RowBox[List["\[DifferentialD]", "x"]]]]]], "\[Equal]", RowBox[List[RowBox[List["x", " ", RowBox[List["ArcTan", "[", RowBox[List["x", ",", "y"]], "]"]]]], "+", RowBox[List[FractionBox["1", "2"], " ", "y", " ", RowBox[List["Log", "[", RowBox[List[SuperscriptBox["x", "2"], "+", SuperscriptBox["y", "2"]]], "]"]]]]]]]]]]

 MathML Form

 tan - 1 ( x , y ) x x tan - 1 ( x , y ) + 1 2 y log ( x 2 + y 2 ) x x y x x y 1 2 y x 2 y 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["ArcTan", "[", RowBox[List["x_", ",", "y_"]], "]"]], RowBox[List["\[DifferentialD]", "x_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["x", " ", RowBox[List["ArcTan", "[", RowBox[List["x", ",", "y"]], "]"]]]], "+", RowBox[List[FractionBox["1", "2"], " ", "y", " ", RowBox[List["Log", "[", RowBox[List[SuperscriptBox["x", "2"], "+", SuperscriptBox["y", "2"]]], "]"]]]]]]]]]]

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

 2001-10-29