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 ArcCsc

 http://functions.wolfram.com/01.17.07.0001.01

 Input Form

 ArcCsc[z] == Integrate[1/(t Sqrt[t^2 - 1]), {t, -Infinity, z}] /; Re[z] < -1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCsc", "[", "z", "]"]], "\[Equal]", RowBox[List[SubsuperscriptBox["\[Integral]", RowBox[List["-", "\[Infinity]"]], "z"], RowBox[List[FractionBox["1", RowBox[List["t", " ", SqrtBox[RowBox[List[SuperscriptBox["t", "2"], "-", "1"]]]]]], RowBox[List["\[DifferentialD]", "t"]]]]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], "<", RowBox[List["-", "1"]]]]]]]]

 MathML Form

 csc - 1 ( z ) - z 1 t t 2 - 1 t /; Re ( z ) < - 1 Condition z t -1 z 1 t t 2 -1 1 2 -1 z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsc", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", RowBox[List["-", "\[Infinity]"]], "z"], RowBox[List[FractionBox["1", RowBox[List["t", " ", SqrtBox[RowBox[List[SuperscriptBox["t", "2"], "-", "1"]]]]]], RowBox[List["\[DifferentialD]", "t"]]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], "<", RowBox[List["-", "1"]]]]]]]]]]

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

 2001-10-29