Attachment 'calculus-article.xml'
Download 1 <?xml version="1.0" encoding="UTF-8" ?>
2 <?xml-stylesheet type="text/xsl" href="article-html.xsl"?>
3
4 <article>
5 <title>Derivatives and Integrals</title>
6 <author>Robert Beezer</author>
7 <email>[email protected]</email>
8 <department>Department of Mathematics and Computer Science</department>
9 <institution>University of Puget Sound</institution>
10 <date>June 20, 2013</date>
11
12
13 <p>We consider integrals of functions <m>f(x)</m>. For example, <dm>\int_0^1\,\sin^2(x)\,dx</dm></p>
14
15 <p>There is a remarkable theorem:</p>
16
17 <theorem>
18 <statement><p>If <m>f(x)</m> is continuous, and the derivative of <m>F(x)</m> is <m>f(x)</m>, then
19 <dm>\int_a^b\,f(x)\,dx=F(b)-F(a)</dm></p></statement>
20 <proof><p>Left to the reader.</p></proof>
21 </theorem>
22
23 </article>
Attached Files
To refer to attachments on a page, use attachment:filename, as shown below in the list of files. Do NOT use the URL of the [get] link, since this is subject to change and can break easily.You are not allowed to attach a file to this page.