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	<id>https://drorbn.net/index.php?action=history&amp;feed=atom&amp;title=1617-257%2FTUT-R-12</id>
	<title>1617-257/TUT-R-12 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://drorbn.net/index.php?action=history&amp;feed=atom&amp;title=1617-257%2FTUT-R-12"/>
	<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=1617-257/TUT-R-12&amp;action=history"/>
	<updated>2026-08-15T05:31:08Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.39.6</generator>
	<entry>
		<id>https://drorbn.net/index.php?title=1617-257/TUT-R-12&amp;diff=15768&amp;oldid=prev</id>
		<title>Jeffim at 23:32, 1 December 2016</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=1617-257/TUT-R-12&amp;diff=15768&amp;oldid=prev"/>
		<updated>2016-12-01T23:32:26Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:32, 1 December 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Comments from the tutorial on 12/1/16.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Comments from the tutorial on 12/1/16.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Someone asked about how to do a problem from the currently assigned problem. A suggestion for how to show the integral exists was &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;via&lt;/del&gt; Fubini&#039;s theorem. I OK&#039;d this idea in the tutorial, but it is actually not OK. In order to use Fubini&#039;s theorem, one needs to know that the function in question is integrable (and that&#039;s exactly what the problem asks to do). I&#039;m going to go with my original suggestion and suggest making estimates using some compact and rectifiable exhaustion for this function to do this question.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Someone asked about how to do a problem from the currently assigned problem. A suggestion for how to show the integral exists was &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;by using&lt;/ins&gt; Fubini&#039;s theorem. I OK&#039;d this idea in the tutorial, but it is actually not OK. In order to use Fubini&#039;s theorem, one needs to know that the function in question is integrable (and that&#039;s exactly what the problem asks to do). I&#039;m going to go with my original suggestion and suggest making estimates using some compact and rectifiable exhaustion for this function to do this question.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Another person gave an argument for how to do 15-8(b) which works fine if the function is continuous everywhere, but since there function may not necessarily be continuous everywhere, you do in fact need to use that it&#039;s locally bounded.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Another person gave an argument for how to do 15-8(b) which works fine if the function is continuous everywhere, but since there function may not necessarily be continuous everywhere, you do in fact need to use that it&#039;s locally bounded.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

&lt;!-- diff cache key drordb-drorbn_:diff:wikidiff2:1.12:old-15767:rev-15768:1.13.0 --&gt;
&lt;/table&gt;</summary>
		<author><name>Jeffim</name></author>
	</entry>
	<entry>
		<id>https://drorbn.net/index.php?title=1617-257/TUT-R-12&amp;diff=15767&amp;oldid=prev</id>
		<title>Jeffim at 23:32, 1 December 2016</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=1617-257/TUT-R-12&amp;diff=15767&amp;oldid=prev"/>
		<updated>2016-12-01T23:32:05Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:32, 1 December 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Someone asked about how to do a problem from the currently assigned problem. A suggestion for how to show the integral exists was via Fubini&#039;s theorem. I OK&#039;d this idea in the tutorial, but it is actually not OK. In order to use Fubini&#039;s theorem, one needs to know that the function in question is integrable (and that&#039;s exactly what the problem asks to do). I&#039;m going to go with my original suggestion and suggest making estimates using some compact and rectifiable exhaustion for this function to do this question.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Someone asked about how to do a problem from the currently assigned problem. A suggestion for how to show the integral exists was via Fubini&#039;s theorem. I OK&#039;d this idea in the tutorial, but it is actually not OK. In order to use Fubini&#039;s theorem, one needs to know that the function in question is integrable (and that&#039;s exactly what the problem asks to do). I&#039;m going to go with my original suggestion and suggest making estimates using some compact and rectifiable exhaustion for this function to do this question.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Another person gave an argument for how to do 15-8(b) which works fine if the function is continuous everywhere, but since there function may not necessarily be continuous everywhere, you do in fact need to use that it&#039;s locally bounded.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Sorry about this missteps.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

&lt;!-- diff cache key drordb-drorbn_:diff:wikidiff2:1.12:old-15766:rev-15767:1.13.0 --&gt;
&lt;/table&gt;</summary>
		<author><name>Jeffim</name></author>
	</entry>
	<entry>
		<id>https://drorbn.net/index.php?title=1617-257/TUT-R-12&amp;diff=15766&amp;oldid=prev</id>
		<title>Jeffim: Created page with &quot;Comments from the tutorial on 12/1/16.  Someone asked about how to do a problem from the currently assigned problem. A suggestion for how to show the integral exists was via F...&quot;</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=1617-257/TUT-R-12&amp;diff=15766&amp;oldid=prev"/>
		<updated>2016-12-01T23:29:44Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;Comments from the tutorial on 12/1/16.  Someone asked about how to do a problem from the currently assigned problem. A suggestion for how to show the integral exists was via F...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Comments from the tutorial on 12/1/16.&lt;br /&gt;
&lt;br /&gt;
Someone asked about how to do a problem from the currently assigned problem. A suggestion for how to show the integral exists was via Fubini&amp;#039;s theorem. I OK&amp;#039;d this idea in the tutorial, but it is actually not OK. In order to use Fubini&amp;#039;s theorem, one needs to know that the function in question is integrable (and that&amp;#039;s exactly what the problem asks to do). I&amp;#039;m going to go with my original suggestion and suggest making estimates using some compact and rectifiable exhaustion for this function to do this question.&lt;/div&gt;</summary>
		<author><name>Jeffim</name></author>
	</entry>
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