andy/Fall-2026-Math-1041
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

Latest build deployed.

Browse Source
This commit is contained in:
andy
2026-01-09 13:06:26 -05:00
parent e6271d3bca
commit f77b5571cc
4 changed files with 16 additions and 16 deletions
Download Patch File Download Diff File Expand all files Collapse all files
course/recitation-calculus-review-printable.html
+6 -6
View File
@@ -228,20 +228,20 @@ eBookConfig.enable_chatcodes = false;
<div class="autopermalink" data-description="Paragraph"><a href="#recitation-calculus-review-6-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
</div>
<div class="autopermalink" data-description="Worksheet Exercise 4"><a href="#recitation-calculus-review-6" title="Copy heading and permalink for Worksheet Exercise 4" aria-label="Copy heading and permalink for Worksheet Exercise 4">🔗</a></div></article><article class="theorem theorem-like" id="thm-FTC"><h3 class="heading">
<span class="type">Theorem</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">1</span><span class="period heading-divison-mark heading-divison-mark__period">.</span>
<span class="type">Theorem</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">1</span><span class="period heading-divison-mark heading-divison-mark__period">.</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="title">Fundamental Theorem of Calculus.</span>
</h3>
<div class="para logical" id="thm-FTC-1-1">
<div class="para">If <span class="process-math">\(F(x)\)</span> is an antiderivative of <span class="process-math">\(f(x)\)</span>—i.e., if <span class="process-math">\(F'(x) = f(x)\)</span>—then the Fundamental Theorem of Calculus (FTC) says:</div>
<div class="displaymath process-math" id="thm-FTC-1-1-6">
<div class="para logical" id="thm-FTC-2-1">
<div class="para">If <span class="process-math">\(F(x)\)</span> is an antiderivative of <span class="process-math">\(f(x)\)</span>—i.e., if <span class="process-math">\(F'(x) = f(x)\)</span>—then:</div>
<div class="displaymath process-math" id="thm-FTC-2-1-6">
\begin{gather*}
\int_a^b f(x)\ dx = F(x)\bigg|_a^b = F(b) - F(a).
\end{gather*}
</div>
<div class="para">If <span class="process-math">\(f(x)\)</span> is a probability density function (don’t worry about what that means for now), then integrals such as <span class="process-math">\(\int_a^b f(x)\ dx\)</span> are used to calculate certain probabilities, and so are function values of the form <span class="process-math">\(F(x)\text{.}\)</span>
</div>
<div class="autopermalink" data-description="Paragraph"><a href="#thm-FTC-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
<div class="autopermalink" data-description="Paragraph"><a href="#thm-FTC-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
</div>
<div class="autopermalink" data-description="Theorem 1"><a href="#thm-FTC" title="Copy heading and permalink for Theorem 1" aria-label="Copy heading and permalink for Theorem 1">🔗</a></div></article><article class="exercise exercise-like" id="recitation-calculus-review-8"><h3 class="heading"><span class="codenumber">5<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
<div class="autopermalink" data-description="Theorem 1: Fundamental Theorem of Calculus"><a href="#thm-FTC" title="Copy heading and permalink for Theorem 1: Fundamental Theorem of Calculus" aria-label="Copy heading and permalink for Theorem 1: Fundamental Theorem of Calculus">🔗</a></div></article><article class="exercise exercise-like" id="recitation-calculus-review-8"><h3 class="heading"><span class="codenumber">5<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
<div class="para logical" id="recitation-calculus-review-8-1-1">
<div class="para">Practice with the following integrals:</div>
<div class="displaymath process-math" id="recitation-calculus-review-8-1-1-1">