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; }

 EllipticE

 http://functions.wolfram.com/08.01.21.0019.01

 Input Form

 Integrate[(z EllipticE[z^2])/(1 - z^2), z] == -EllipticE[z^2] + EllipticK[z^2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List["z", " ", RowBox[List["EllipticE", "[", SuperscriptBox["z", "2"], "]"]]]], RowBox[List["1", "-", SuperscriptBox["z", "2"]]]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[RowBox[List["-", RowBox[List["EllipticE", "[", SuperscriptBox["z", "2"], "]"]]]], "+", RowBox[List["EllipticK", "[", SuperscriptBox["z", "2"], "]"]]]]]]]]

 MathML Form

 z E ( z 2 ) 1 - z 2 z K ( z 2 ) - E ( z 2 ) z z EllipticE z 2 1 -1 z 2 -1 EllipticK z 2 -1 EllipticE z 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List["z_", " ", RowBox[List["EllipticE", "[", SuperscriptBox["z_", "2"], "]"]]]], RowBox[List["1", "-", SuperscriptBox["z_", "2"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", RowBox[List["EllipticE", "[", SuperscriptBox["z", "2"], "]"]]]], "+", RowBox[List["EllipticK", "[", SuperscriptBox["z", "2"], "]"]]]]]]]]

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

 2001-10-29