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 Coth

 http://functions.wolfram.com/01.22.21.0113.01

 Input Form

 Integrate[Coth[c z]/Sqrt[Cosh[2 c z]], z] == -(ArcTanh[Sqrt[Cosh[2 c z]]]/c)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List["Coth", "[", RowBox[List["c", " ", "z"]], "]"]], SqrtBox[RowBox[List["Cosh", "[", RowBox[List["2", " ", "c", " ", "z"]], "]"]]]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List["-", FractionBox[RowBox[List["ArcTanh", "[", SqrtBox[RowBox[List["Cosh", "[", RowBox[List["2", " ", "c", " ", "z"]], "]"]]], "]"]], "c"]]]]]]]

 MathML Form

 coth ( c z ) cosh 1 2 ( 2 c z ) z - 1 c tanh - 1 ( cosh 1 2 ( 2 c z ) ) z c z 2 c z 1 2 -1 -1 1 c -1 2 c z 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List["Coth", "[", RowBox[List["c_", " ", "z_"]], "]"]], SqrtBox[RowBox[List["Cosh", "[", RowBox[List["2", " ", "c_", " ", "z_"]], "]"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox[RowBox[List["ArcTanh", "[", SqrtBox[RowBox[List["Cosh", "[", RowBox[List["2", " ", "c", " ", "z"]], "]"]]], "]"]], "c"]]]]]]]

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

 2002-12-18