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/01.24.21.0455.01

 Input Form

 Integrate[1/(a Tanh[z] + b Sech[z]), z] == Log[b + a Sinh[z]]/a

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox["1", RowBox[List[RowBox[List["a", " ", RowBox[List["Tanh", "[", "z", "]"]]]], "+", RowBox[List["b", " ", RowBox[List["Sech", "[", "z", "]"]]]]]]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List["Log", "[", RowBox[List["b", "+", RowBox[List["a", " ", RowBox[List["Sinh", "[", "z", "]"]]]]]], "]"]], "a"]]]]]

 MathML Form

 1 a tanh ( z ) + b sech ( z ) z log ( b + a sinh ( z ) ) a z 1 a z b z -1 b a z a -1 [/itex]

 Rule Form

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

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

 2002-12-18