Integrate[Infinity, z] == z Infinity

Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[InterpretationBox[InterpretationBox[RowBox[List["DirectedInfinity", "[", "z", "]"]], DirectedInfinity[1]], DirectedInfinity[1]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List["z", " ", InterpretationBox["\[Infinity]", DirectedInfinity[1]]]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mo> &#8747; </mo> <mrow> <semantics> <mrow> <mi> z </mi> <mo> &#8290; </mo> <mi> &#8734; </mi> </mrow> <annotation-xml encoding='MathML-Content'> <infinity /> </annotation-xml> </semantics> <mo> &#8290; </mo> <mrow> <mo> &#8518; </mo> <mi> z </mi> </mrow> </mrow> </mrow> <mo> &#10869; </mo> <mrow> <mi> z </mi> <mo> &#8290; </mo> <semantics> <mi> &#8734; </mi> <annotation-xml encoding='MathML-Content'> <infinity /> </annotation-xml> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <int /> <bvar> <ci> z </ci> </bvar> <apply> <ci> DirectedInfinity </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <times /> <ci> z </ci> <apply> <ci> DirectedInfinity </ci> <cn type='integer'> 1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List["\[Infinity]", RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["z", " ", "\[Infinity]"]]]]]]

2001-10-29