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 Csch

 http://functions.wolfram.com/01.23.21.0138.01

 Input Form

 Integrate[Tanh[c z] Csch[c z], z] == (2 ArcTan[Tanh[(c z)/2]])/c

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", " ", RowBox[List[RowBox[List["Tanh", "[", RowBox[List["c", " ", "z"]], "]"]], RowBox[List["Csch", "[", RowBox[List["c", " ", "z"]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List["2", " ", RowBox[List["ArcTan", "[", RowBox[List["Tanh", "[", FractionBox[RowBox[List["c", " ", "z"]], "2"], "]"]], "]"]]]], "c"]]]]]

 MathML Form

 tanh ( c z ) csch ( c z ) z 2 tan - 1 ( tanh ( c z 2 ) ) c z c z c z 2 c z 2 -1 c -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[RowBox[List["Tanh", "[", RowBox[List["c_", " ", "z_"]], "]"]], " ", RowBox[List["Csch", "[", RowBox[List["c_", " ", "z_"]], "]"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2", " ", RowBox[List["ArcTan", "[", RowBox[List["Tanh", "[", FractionBox[RowBox[List["c", " ", "z"]], "2"], "]"]], "]"]]]], "c"]]]]]

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

 2002-12-18

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