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 Cot

 http://functions.wolfram.com/01.09.21.0026.01

 Input Form

 Integrate[Cot[ArcSin[z]], z] == Sqrt[1 - z^2] + Log[z] - Log[1 + Sqrt[1 - z^2]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["Cot", "[", RowBox[List["ArcSin", "[", "z", "]"]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[SqrtBox[RowBox[List["1", "-", SuperscriptBox["z", "2"]]]], "+", RowBox[List["Log", "[", "z", "]"]], "-", RowBox[List["Log", "[", RowBox[List["1", "+", SqrtBox[RowBox[List["1", "-", SuperscriptBox["z", "2"]]]]]], "]"]]]]]]]]

 MathML Form

 cot ( sin - 1 ( z ) ) z log ( z ) - log ( 1 - z 2 + 1 ) + 1 - z 2 z z z -1 1 -1 z 2 1 2 1 1 -1 z 2 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["Cot", "[", RowBox[List["ArcSin", "[", "z_", "]"]], "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[SqrtBox[RowBox[List["1", "-", SuperscriptBox["z", "2"]]]], "+", RowBox[List["Log", "[", "z", "]"]], "-", RowBox[List["Log", "[", RowBox[List["1", "+", SqrtBox[RowBox[List["1", "-", SuperscriptBox["z", "2"]]]]]], "]"]]]]]]]]

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

 2002-12-18