html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Sech

 http://functions.wolfram.com/01.24.21.0104.01

 Input Form

 Integrate[Cosh[2 z] Sech[z], z] == 2 (-ArcTan[Tanh[z/2]] + Sinh[z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List[RowBox[List["Cosh", "[", RowBox[List["2", " ", "z"]], "]"]], " ", RowBox[List["Sech", "[", "z", "]"]]]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List["2", " ", RowBox[List["(", RowBox[List[RowBox[List["-", RowBox[List["ArcTan", "[", RowBox[List["Tanh", "[", FractionBox["z", "2"], "]"]], "]"]]]], "+", RowBox[List["Sinh", "[", "z", "]"]]]], ")"]]]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[RowBox[List["Cosh", "[", RowBox[List["2", " ", "z_"]], "]"]], " ", RowBox[List["Sech", "[", "z_", "]"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["2", " ", RowBox[List["(", RowBox[List[RowBox[List["-", RowBox[List["ArcTan", "[", RowBox[List["Tanh", "[", FractionBox["z", "2"], "]"]], "]"]]]], "+", RowBox[List["Sinh", "[", "z", "]"]]]], ")"]]]]]]]]

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

 2002-12-18