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 Cosh

 http://functions.wolfram.com/01.20.21.0437.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2002-12-18