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 ArcCsch

 http://functions.wolfram.com/01.29.21.0003.01

 Input Form

 Integrate[ArcCsch[z], z] == z ArcCsch[z] + Log[(1 + Sqrt[1 + 1/z^2]) z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["ArcCsch", "[", "z", "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[RowBox[List["z", " ", RowBox[List["ArcCsch", "[", "z", "]"]]]], "+", RowBox[List["Log", "[", RowBox[List[RowBox[List["(", RowBox[List["1", "+", SqrtBox[RowBox[List["1", "+", FractionBox["1", SuperscriptBox["z", "2"]]]]]]], ")"]], " ", "z"]], "]"]]]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["ArcCsch", "[", "z_", "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["z", " ", RowBox[List["ArcCsch", "[", "z", "]"]]]], "+", RowBox[List["Log", "[", RowBox[List[RowBox[List["(", RowBox[List["1", "+", SqrtBox[RowBox[List["1", "+", FractionBox["1", SuperscriptBox["z", "2"]]]]]]], ")"]], " ", "z"]], "]"]]]]]]]]

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

 2001-10-29