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 ArcSech

 http://functions.wolfram.com/01.30.21.0003.01

 Input Form

 Integrate[ArcSech[z], z] == z ArcSech[z] - ArcTan[(z Sqrt[(1 - z)/(1 + z)])/(-1 + z)]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["ArcSech", "[", "z", "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[RowBox[List["z", " ", RowBox[List["ArcSech", "[", "z", "]"]]]], "-", RowBox[List["ArcTan", "[", FractionBox[RowBox[List["z", " ", SqrtBox[FractionBox[RowBox[List["1", "-", "z"]], RowBox[List["1", "+", "z"]]]]]], RowBox[List[RowBox[List["-", "1"]], "+", "z"]]], "]"]]]]]]]]

 MathML Form

 sech - 1 ( z ) z z sech - 1 ( z ) - tan - 1 ( z 1 - z z + 1 z - 1 ) z z z z -1 z 1 -1 z z 1 -1 1 2 z -1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["ArcSech", "[", "z_", "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["z", " ", RowBox[List["ArcSech", "[", "z", "]"]]]], "-", RowBox[List["ArcTan", "[", FractionBox[RowBox[List["z", " ", SqrtBox[FractionBox[RowBox[List["1", "-", "z"]], RowBox[List["1", "+", "z"]]]]]], RowBox[List[RowBox[List["-", "1"]], "+", "z"]]], "]"]]]]]]]]

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

 2001-10-29