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/01.24.21.0023.01

 Input Form

 Integrate[Sech[b + a z], z] == (2 ArcTan[Tanh[(1/2) (b + a z)]])/a

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["Sech", "[", RowBox[List["b", "+", RowBox[List["a", " ", "z"]]]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List["2", " ", RowBox[List["ArcTan", "[", RowBox[List["Tanh", "[", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["b", "+", RowBox[List["a", " ", "z"]]]], ")"]]]], "]"]], "]"]]]], "a"]]]]]

 MathML Form

 sech ( b + a z ) z 2 tan - 1 ( tanh ( 1 2 ( b + a z ) ) ) a z b a z 2 1 2 b a z a -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["Sech", "[", RowBox[List["b_", "+", RowBox[List["a_", " ", "z_"]]]], "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2", " ", RowBox[List["ArcTan", "[", RowBox[List["Tanh", "[", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["b", "+", RowBox[List["a", " ", "z"]]]], ")"]]]], "]"]], "]"]]]], "a"]]]]]

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

 2002-12-18

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