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Mathematica Notation

Traditional Notation

Generalized Functions > HeavisideTheta[x] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving power function




Input Form

Integrate[(1/x) HeavisideTheta[x], x] == Log[x] HeavisideTheta[x]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox["1", "x"], " ", RowBox[List["HeavisideTheta", "[", "x", "]"]], RowBox[List["\[DifferentialD]", "x"]]]]]], "\[Equal]", RowBox[List[RowBox[List["Log", "[", "x", "]"]], RowBox[List["HeavisideTheta", "[", "x", "]"]]]]]]]]

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> <mfrac> <mrow> <semantics> <mi> &#952; </mi> <annotation-xml encoding='MathML-Content'> <ci> HeavisideTheta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mi> x </mi> </mfrac> <mo> &#8290; </mo> <mrow> <mo> &#8518; </mo> <mi> x </mi> </mrow> </mrow> </mrow> <mo> &#63449; </mo> <mrow> <mrow> <mi> log </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <semantics> <mi> &#952; </mi> <annotation-xml encoding='MathML-Content'> <ci> HeavisideTheta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <int /> <bvar> <ci> x </ci> </bvar> <apply> <times /> <apply> <ci> HeavisideTheta </ci> <ci> x </ci> </apply> <apply> <power /> <ci> x </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <apply> <ln /> <ci> x </ci> </apply> <apply> <ci> HeavisideTheta </ci> <ci> x </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List["HeavisideTheta", "[", "x_", "]"]], "x_"], RowBox[List["\[DifferentialD]", "x_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Log", "[", "x", "]"]], " ", RowBox[List["HeavisideTheta", "[", "x", "]"]]]]]]]]

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