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 Tanh

 http://functions.wolfram.com/01.21.21.0128.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2002-12-18