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http://functions.wolfram.com/04.06.21.0011.01
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Integrate[Mod[t, n], {t, -a, a}] == a n
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Cell[BoxData[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", RowBox[List["-", "a"]], RowBox[List["a", " "]]], RowBox[List[RowBox[List["Mod", "[", RowBox[List["t", ",", "n"]], "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", RowBox[List["a", " ", "n"]]]]]]
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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> <semantics> <mrow> <mi> t </mi> <mo> ⁢ </mo> <mi> mod </mi> <mo> ⁢ </mo> <mi> n </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <rem /> <ci> $CellContext`t </ci> <ci> $CellContext`n </ci> </apply> </annotation-xml> </semantics> <mo> ⁢ </mo> <mrow> <mo> ⅆ </mo> <mi> t </mi> </mrow> </mrow> </mrow> <mo> ⩵ </mo> <mrow> <mi> a </mi> <mo> ⁢ </mo> <mi> n </mi> </mrow> </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> <rem /> <ci> $CellContext`t </ci> <ci> $CellContext`n </ci> </apply> </apply> <apply> <times /> <ci> a </ci> <ci> n </ci> </apply> </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["Mod", "[", RowBox[List["t_", ",", "n_"]], "]"]], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["a", " ", "n"]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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