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andy
2026-01-09 13:05:22 -05:00
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@@ -56,9 +56,12 @@
</exercise> </exercise>
<theorem xml:id="thm-FTC"> <theorem xml:id="thm-FTC">
<title>Fundamental Theorem of Calculus</title>
<statement> <statement>
<p> <p>
If <m>F(x)</m> is an antiderivative of <m>f(x)</m><mdash />i.e., if <m>F'(x) = f(x)</m><mdash />then the Fundamental Theorem of Calculus (FTC) says: If <m>F(x)</m> is an antiderivative of <m>f(x)</m><mdash />i.e., if <m>F'(x) = f(x)</m><mdash />then:
<md> <md>
<mrow> \int_a^b f(x)\ dx = F(x)\bigg|_a^b = F(b) - F(a). </mrow> <mrow> \int_a^b f(x)\ dx = F(x)\bigg|_a^b = F(b) - F(a). </mrow>
</md> </md>