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	<id>https://wiki.dvaezazizi.com/index.php?action=history&amp;feed=atom&amp;title=5.3_The_Fundamental_Theorem_of_Calculus%2F11</id>
	<title>5.3 The Fundamental Theorem of Calculus/11 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.dvaezazizi.com/index.php?action=history&amp;feed=atom&amp;title=5.3_The_Fundamental_Theorem_of_Calculus%2F11"/>
	<link rel="alternate" type="text/html" href="https://wiki.dvaezazizi.com/index.php?title=5.3_The_Fundamental_Theorem_of_Calculus/11&amp;action=history"/>
	<updated>2026-05-05T19:00:44Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.38.2</generator>
	<entry>
		<id>https://wiki.dvaezazizi.com/index.php?title=5.3_The_Fundamental_Theorem_of_Calculus/11&amp;diff=3436&amp;oldid=prev</id>
		<title>Dvaezazizi@laalliance.org: Protected &quot;5.3 The Fundamental Theorem of Calculus/11&quot; ([Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite))</title>
		<link rel="alternate" type="text/html" href="https://wiki.dvaezazizi.com/index.php?title=5.3_The_Fundamental_Theorem_of_Calculus/11&amp;diff=3436&amp;oldid=prev"/>
		<updated>2022-09-06T20:15:24Z</updated>

		<summary type="html">&lt;p&gt;Protected &amp;quot;&lt;a href=&quot;/index.php/5.3_The_Fundamental_Theorem_of_Calculus/11&quot; title=&quot;5.3 The Fundamental Theorem of Calculus/11&quot;&gt;5.3 The Fundamental Theorem of Calculus/11&lt;/a&gt;&amp;quot; ([Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite))&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 20:15, 6 September 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Dvaezazizi@laalliance.org</name></author>
	</entry>
	<entry>
		<id>https://wiki.dvaezazizi.com/index.php?title=5.3_The_Fundamental_Theorem_of_Calculus/11&amp;diff=3417&amp;oldid=prev</id>
		<title>Dvaezazizi@laalliance.org at 20:06, 6 September 2022</title>
		<link rel="alternate" type="text/html" href="https://wiki.dvaezazizi.com/index.php?title=5.3_The_Fundamental_Theorem_of_Calculus/11&amp;diff=3417&amp;oldid=prev"/>
		<updated>2022-09-06T20:06:27Z</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;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 20:06, 6 September 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&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;&amp;lt;math&amp;gt; g(x)= \int_{x}^{\pi}\sqrt{1+sec(t)}\cdot dt &amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&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;&amp;lt;math&amp;gt; g(x)= \int_{x}^{\pi}\sqrt{1+sec(t)}\cdot dt &amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;/div&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;&amp;lt;math&amp;gt; \frac{d}{dx}\left[g(x)\right]=\frac{d}{dx}\left[\&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;int_\x&lt;/del&gt;^{\pi}\sqrt{1+sec(t)}\cdot dt\right]=0 \cdot \sqrt{1+sec(\pi)} - 1\cdot \sqrt{1+sec(x)} = -\sqrt{1+sec(x)}&amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&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;&amp;lt;math&amp;gt; \frac{d}{dx}\left[g(x)\right]=\frac{d}{dx}\left[\&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;int_x&lt;/ins&gt;^{\pi}\sqrt{1+sec(t)}\cdot dt\right]=0 \cdot \sqrt{1+sec(\pi)} - 1\cdot \sqrt{1+sec(x)} = -\sqrt{1+sec(x)}&amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&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;div&gt;&amp;lt;math&amp;gt;\text{Therefore, } g'(x)=-\sqrt{1+sec(x)}&amp;lt;/math&amp;gt;&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;&amp;lt;math&amp;gt;\text{Therefore, } g'(x)=-\sqrt{1+sec(x)}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Dvaezazizi@laalliance.org</name></author>
	</entry>
	<entry>
		<id>https://wiki.dvaezazizi.com/index.php?title=5.3_The_Fundamental_Theorem_of_Calculus/11&amp;diff=3416&amp;oldid=prev</id>
		<title>Dvaezazizi@laalliance.org at 20:06, 6 September 2022</title>
		<link rel="alternate" type="text/html" href="https://wiki.dvaezazizi.com/index.php?title=5.3_The_Fundamental_Theorem_of_Calculus/11&amp;diff=3416&amp;oldid=prev"/>
		<updated>2022-09-06T20:06:19Z</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;
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				&lt;col class=&quot;diff-content&quot; /&gt;
				&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 20:06, 6 September 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&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;&amp;lt;math&amp;gt; g(x)= \int_{x}^{\pi}\sqrt{1+sec(t)}\cdot dt &amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&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;&amp;lt;math&amp;gt; g(x)= \int_{x}^{\pi}\sqrt{1+sec(t)}\cdot dt &amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;/div&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;&amp;lt;math&amp;gt; \frac{d}{dx}\left[g(x)\right]=\frac{d}{dx}\left[\int_\&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pi&lt;/del&gt;^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;x&lt;/del&gt;}\sqrt{1+sec(t)}\cdot dt\right]=0 \cdot \sqrt{1+sec(\pi)} - 1\cdot \sqrt{1+sec(x)} = -\sqrt{1+sec(x)}&amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&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;&amp;lt;math&amp;gt; \frac{d}{dx}\left[g(x)\right]=\frac{d}{dx}\left[\int_\&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;x&lt;/ins&gt;^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\pi&lt;/ins&gt;}\sqrt{1+sec(t)}\cdot dt\right]=0 \cdot \sqrt{1+sec(\pi)} - 1\cdot \sqrt{1+sec(x)} = -\sqrt{1+sec(x)}&amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&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;div&gt;&amp;lt;math&amp;gt;\text{Therefore, } g'(x)=-\sqrt{1+sec(x)}&amp;lt;/math&amp;gt;&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;&amp;lt;math&amp;gt;\text{Therefore, } g'(x)=-\sqrt{1+sec(x)}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Dvaezazizi@laalliance.org</name></author>
	</entry>
	<entry>
		<id>https://wiki.dvaezazizi.com/index.php?title=5.3_The_Fundamental_Theorem_of_Calculus/11&amp;diff=3415&amp;oldid=prev</id>
		<title>Dvaezazizi@laalliance.org at 20:05, 6 September 2022</title>
		<link rel="alternate" type="text/html" href="https://wiki.dvaezazizi.com/index.php?title=5.3_The_Fundamental_Theorem_of_Calculus/11&amp;diff=3415&amp;oldid=prev"/>
		<updated>2022-09-06T20:05:51Z</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;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&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 20:05, 6 September 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&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; 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;&amp;lt;math&amp;gt; g(x)= \int_{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\pi&lt;/del&gt;}^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;x&lt;/del&gt;}\sqrt{1+sec(t)}\cdot dt &amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&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;&amp;lt;math&amp;gt; g(x)= \int_{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;x&lt;/ins&gt;}^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\pi&lt;/ins&gt;}\sqrt{1+sec(t)}\cdot dt &amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&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;div&gt;&amp;lt;math&amp;gt; \frac{d}{dx}\left[g(x)\right]=\frac{d}{dx}\left[\int_\pi^{x}\sqrt{1+sec(t)}\cdot dt\right]=0 \cdot \sqrt{1+sec(\pi)} - 1\cdot \sqrt{1+sec(x)} = -\sqrt{1+sec(x)}&amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&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;&amp;lt;math&amp;gt; \frac{d}{dx}\left[g(x)\right]=\frac{d}{dx}\left[\int_\pi^{x}\sqrt{1+sec(t)}\cdot dt\right]=0 \cdot \sqrt{1+sec(\pi)} - 1\cdot \sqrt{1+sec(x)} = -\sqrt{1+sec(x)}&amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&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;div&gt;&amp;lt;math&amp;gt;\text{Therefore, } g'(x)=-\sqrt{1+sec(x)}&amp;lt;/math&amp;gt;&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;&amp;lt;math&amp;gt;\text{Therefore, } g'(x)=-\sqrt{1+sec(x)}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Dvaezazizi@laalliance.org</name></author>
	</entry>
	<entry>
		<id>https://wiki.dvaezazizi.com/index.php?title=5.3_The_Fundamental_Theorem_of_Calculus/11&amp;diff=1255&amp;oldid=prev</id>
		<title>Elizabethh58413: Created page with &quot;&lt;math&gt; g(x)= \int_{\pi}^{x}\sqrt{1+sec(t)}\cdot dt &lt;/math&gt; &lt;br&gt;&lt;br&gt; &lt;math&gt; \frac{d}{dx}\left[g(x)\right]=\frac{d}{dx}\left[\int_\pi^{x}\sqrt{1+sec(t)}\cdot dt\right]=0 \cdot \sqrt{1+sec(\pi)} - 1\cdot \sqrt{1+sec(x)} = -\sqrt{1+sec(x)}&lt;/math&gt; &lt;br&gt;&lt;br&gt; &lt;math&gt;\text{Therefore, } g'(x)=-\sqrt{1+sec(x)}&lt;/math&gt;&quot;</title>
		<link rel="alternate" type="text/html" href="https://wiki.dvaezazizi.com/index.php?title=5.3_The_Fundamental_Theorem_of_Calculus/11&amp;diff=1255&amp;oldid=prev"/>
		<updated>2022-08-25T19:24:02Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;math&amp;gt; g(x)= \int_{\pi}^{x}\sqrt{1+sec(t)}\cdot dt &amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt; &amp;lt;math&amp;gt; \frac{d}{dx}\left[g(x)\right]=\frac{d}{dx}\left[\int_\pi^{x}\sqrt{1+sec(t)}\cdot dt\right]=0 \cdot \sqrt{1+sec(\pi)} - 1\cdot \sqrt{1+sec(x)} = -\sqrt{1+sec(x)}&amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt; &amp;lt;math&amp;gt;\text{Therefore, } g&amp;#039;(x)=-\sqrt{1+sec(x)}&amp;lt;/math&amp;gt;&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;math&amp;gt; g(x)= \int_{\pi}^{x}\sqrt{1+sec(t)}\cdot dt &amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt; \frac{d}{dx}\left[g(x)\right]=\frac{d}{dx}\left[\int_\pi^{x}\sqrt{1+sec(t)}\cdot dt\right]=0 \cdot \sqrt{1+sec(\pi)} - 1\cdot \sqrt{1+sec(x)} = -\sqrt{1+sec(x)}&amp;lt;/math&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;\text{Therefore, } g'(x)=-\sqrt{1+sec(x)}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Elizabethh58413</name></author>
	</entry>
</feed>