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http://functions.wolfram.com/01.06.21.0506.01
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Integrate[Sin[a^z], z] == SinIntegral[a^z]/Log[a]
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Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["Sin", "[", SuperscriptBox["a", "z"], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List["SinIntegral", "[", SuperscriptBox["a", "z"], "]"]], RowBox[List["Log", "[", "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> <mo> ∫ </mo> <mrow> <mrow> <mi> sin </mi> <mo> ⁡ </mo> <mo> ( </mo> <msup> <mi> a </mi> <mi> z </mi> </msup> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mo> ⅆ </mo> <mi> z </mi> </mrow> </mrow> </mrow> <mo> ⩵ </mo> <mfrac> <mrow> <mi> Si </mi> <mo> ⁡ </mo> <mo> ( </mo> <msup> <mi> a </mi> <mi> z </mi> </msup> <mo> ) </mo> </mrow> <mrow> <mi> log </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> a </mi> <mo> ) </mo> </mrow> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <int /> <bvar> <ci> z </ci> </bvar> <apply> <sin /> <apply> <power /> <ci> a </ci> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <apply> <ci> SinIntegral </ci> <apply> <power /> <ci> a </ci> <ci> z </ci> </apply> </apply> <apply> <power /> <apply> <ln /> <ci> a </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["Sin", "[", SuperscriptBox["a_", "z_"], "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["SinIntegral", "[", SuperscriptBox["a", "z"], "]"]], RowBox[List["Log", "[", "a", "]"]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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