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 Coth

 http://functions.wolfram.com/01.22.21.0067.01

 Input Form

 Integrate[Sinh[c z] Coth[2 c z], z] == (-ArcTan[Tanh[(c z)/2]] + Sinh[c z])/c

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["Sinh", "[", RowBox[List["c", " ", "z"]], "]"]], RowBox[List["Coth", "[", RowBox[List["2", "c", " ", "z"]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List[RowBox[List["-", RowBox[List["ArcTan", "[", RowBox[List["Tanh", "[", FractionBox[RowBox[List["c", " ", "z"]], "2"], "]"]], "]"]]]], "+", RowBox[List["Sinh", "[", RowBox[List["c", " ", "z"]], "]"]]]], "c"]]]]]

 MathML Form

 sinh ( c z ) coth ( 2 c z ) z sinh ( c z ) - tan - 1 ( tanh ( c z 2 ) ) c z c z 2 c z c z -1 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["Sinh", "[", RowBox[List["c_", " ", "z_"]], "]"]], " ", RowBox[List["Coth", "[", RowBox[List["2", " ", "c_", " ", "z_"]], "]"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["-", RowBox[List["ArcTan", "[", RowBox[List["Tanh", "[", FractionBox[RowBox[List["c", " ", "z"]], "2"], "]"]], "]"]]]], "+", RowBox[List["Sinh", "[", RowBox[List["c", " ", "z"]], "]"]]]], "c"]]]]]

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

 2002-12-18