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http://functions.wolfram.com/04.02.21.0009.01
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Integrate[Ceiling[t], {t, -a, a}] == a
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Cell[BoxData[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", RowBox[List["-", "a"]], "a"], RowBox[List[RowBox[List["Ceiling", "[", "t", "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", "a"]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msubsup> <mo> ∫ </mo> <mrow> <mo> - </mo> <mi> a </mi> </mrow> <mi> a </mi> </msubsup> <mrow> <mrow> <mo> ⌈ </mo> <mi> t </mi> <mo> ⌉ </mo> </mrow> <mo> ⁢ </mo> <mrow> <mo> ⅆ </mo> <mi> t </mi> </mrow> </mrow> </mrow> <mo> ⩵ </mo> <mi> a </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <int /> <bvar> <ci> t </ci> </bvar> <lowlimit> <apply> <times /> <cn type='integer'> -1 </cn> <ci> a </ci> </apply> </lowlimit> <uplimit> <ci> a </ci> </uplimit> <apply> <ceiling /> <ci> t </ci> </apply> </apply> <ci> a </ci> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", RowBox[List["-", "a_"]], "a_"], RowBox[List[RowBox[List["Ceiling", "[", "t_", "]"]], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", "a"]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
