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 Sech

 http://functions.wolfram.com/01.24.21.0111.01

 Input Form

 Integrate[Sqrt[Cosh[c z]] Sech[c z], z] == -((2 I EllipticF[(I c z)/2, 2])/c)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[SqrtBox[RowBox[List["Cosh", "[", RowBox[List["c", " ", "z"]], "]"]]], RowBox[List["Sech", "[", RowBox[List["c", " ", "z"]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List["-", FractionBox[RowBox[List["2", " ", "\[ImaginaryI]", " ", RowBox[List["EllipticF", "[", RowBox[List[FractionBox[RowBox[List["\[ImaginaryI]", " ", "c", " ", "z"]], "2"], ",", "2"]], "]"]]]], "c"]]]]]]]

 MathML Form

 cosh 1 2 ( c z ) sech ( c z ) z - 2 c F ( c z 2 2 ) z c z 1 2 c z -1 2 c -1 EllipticF c z 2 -1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[SqrtBox[RowBox[List["Cosh", "[", RowBox[List["c_", " ", "z_"]], "]"]]], " ", RowBox[List["Sech", "[", RowBox[List["c_", " ", "z_"]], "]"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox[RowBox[List["2", " ", "\[ImaginaryI]", " ", RowBox[List["EllipticF", "[", RowBox[List[FractionBox[RowBox[List["\[ImaginaryI]", " ", "c", " ", "z"]], "2"], ",", "2"]], "]"]]]], "c"]]]]]]]

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

 2002-12-18