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I




Mathematica Notation

Traditional Notation









Constants > I > Integration > Indefinite integration





http://functions.wolfram.com/02.01.21.0002.01









  


  








Input Form





Integrate[z^(\[Alpha] - 1) I, z] == (z^\[Alpha] I)/\[Alpha]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[SuperscriptBox["z", RowBox[List["\[Alpha]", "-", "1"]]], " ", "\[ImaginaryI]", RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List[SuperscriptBox["z", "\[Alpha]"], "\[ImaginaryI]"]], "\[Alpha]"]]]]]








MathML Form







<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> <mrow> <msup> <mi> z </mi> <mrow> <mi> &#945; </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> &#8290; </mo> <semantics> <mi> &#8520; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[ImaginaryI]&quot;, Function[List[], GoldenRatio]] </annotation> </semantics> </mrow> <mo> &#8290; </mo> <mrow> <mo> &#8518; </mo> <mi> z </mi> </mrow> </mrow> </mrow> <mo> &#10869; </mo> <mfrac> <mrow> <msup> <mi> z </mi> <mi> &#945; </mi> </msup> <mo> &#8290; </mo> <semantics> <mi> &#8520; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[ImaginaryI]&quot;, Function[List[], GoldenRatio]] </annotation> </semantics> </mrow> <mi> &#945; </mi> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <int /> <bvar> <ci> z </ci> </bvar> <apply> <times /> <apply> <power /> <ci> z </ci> <apply> <plus /> <ci> &#945; </ci> <cn type='integer'> -1 </cn> </apply> </apply> <ci> GoldenRatio </ci> </apply> </apply> <apply> <times /> <apply> <power /> <ci> z </ci> <ci> &#945; </ci> </apply> <ci> GoldenRatio </ci> <apply> <power /> <ci> &#945; </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[SuperscriptBox["z_", RowBox[List["\[Alpha]_", "-", "1"]]], " ", "\[ImaginaryI]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SuperscriptBox["z", "\[Alpha]"], " ", "\[ImaginaryI]"]], "\[Alpha]"]]]]]


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





2007-05-02