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 UnitStep

 http://functions.wolfram.com/14.02.21.0001.01

 Input Form

 Integrate[UnitStep[Subscript[x, 1], Subscript[x, 2], \[Ellipsis]], Subscript[x, 1]] == Subscript[x, 1] UnitStep[Subscript[x, 1], Subscript[x, 2], \[Ellipsis]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["UnitStep", "[", RowBox[List[SubscriptBox["x", "1"], ",", SubscriptBox["x", "2"], ",", "\[Ellipsis]"]], "]"]], RowBox[List["\[DifferentialD]", SubscriptBox["x", "1"]]]]]]], "\[Equal]", RowBox[List[SubscriptBox["x", "1"], " ", RowBox[List["UnitStep", "[", RowBox[List[SubscriptBox["x", "1"], ",", SubscriptBox["x", "2"], ",", "\[Ellipsis]"]], "]"]]]]]]]]

 MathML Form

 θ UnitStep ( x 1 , x 2 , ) x 1 x 1 θ UnitStep ( x 1 , x 2 , ) Subscript x 1 UnitStep Subscript x 1 Subscript x 2 Subscript x 1 UnitStep Subscript x 1 Subscript x 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["UnitStep", "[", RowBox[List[SubscriptBox["x_", "1"], ",", SubscriptBox["x_", "2"], ",", "\[Ellipsis]_"]], "]"]], RowBox[List["\[DifferentialD]", SubscriptBox["x_", "1"]]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[SubscriptBox["xx", "1"], " ", RowBox[List["UnitStep", "[", RowBox[List[SubscriptBox["xx", "1"], ",", SubscriptBox["xx", "2"], ",", "\[Ellipsis]"]], "]"]]]]]]]]

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

 2001-10-29