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; }

 Exp

 http://functions.wolfram.com/01.03.21.0063.01

 Input Form

 Integrate[Sqrt[z^2] E^(a z), z] == (E^(a z) Sqrt[z^2] (-1 + a z))/(a^2 z)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[SqrtBox[SuperscriptBox["z", "2"]], SuperscriptBox["\[ExponentialE]", RowBox[List["a", " ", "z"]]], " ", RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["a", " ", "z"]]], " ", SqrtBox[SuperscriptBox["z", "2"]], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", RowBox[List["a", " ", "z"]]]], ")"]]]], RowBox[List[SuperscriptBox["a", "2"], " ", "z"]]]]]]]

 MathML Form

 z 2 a z z a z z 2 ( a z - 1 ) a 2 z z z 2 1 2 a z a z z 2 1 2 a z -1 a 2 z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[SqrtBox[SuperscriptBox["z_", "2"]], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["a_", " ", "z_"]]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["a", " ", "z"]]], " ", SqrtBox[SuperscriptBox["z", "2"]], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", RowBox[List["a", " ", "z"]]]], ")"]]]], RowBox[List[SuperscriptBox["a", "2"], " ", "z"]]]]]]]

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

 2002-12-18