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 Tanh

 http://functions.wolfram.com/01.21.21.0038.01

 Input Form

 Integrate[Tanh[ArcCsch[z]], z] == (Sqrt[1 + 1/z^2] z ArcSinh[z])/Sqrt[1 + z^2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["Tanh", "[", RowBox[List["ArcCsch", "[", "z", "]"]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List[SqrtBox[RowBox[List["1", "+", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", "z", " ", RowBox[List["ArcSinh", "[", "z", "]"]]]], SqrtBox[RowBox[List["1", "+", SuperscriptBox["z", "2"]]]]]]]]]

 MathML Form

 tanh ( csch - 1 ( z ) ) z 1 + 1 z 2 z sinh - 1 ( z ) z 2 + 1 z z 1 1 z 2 -1 1 2 z z z 2 1 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["Tanh", "[", RowBox[List["ArcCsch", "[", "z_", "]"]], "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SqrtBox[RowBox[List["1", "+", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", "z", " ", RowBox[List["ArcSinh", "[", "z", "]"]]]], SqrtBox[RowBox[List["1", "+", SuperscriptBox["z", "2"]]]]]]]]]

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

 2002-12-18