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 Tanh

 http://functions.wolfram.com/01.21.21.0112.01

 Input Form

 Integrate[Tanh[c z]/Sqrt[Cosh[2 c z]], z] == ArcTan[Sqrt[Cosh[2 c z]]]/c

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2002-12-18