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education/math/MATH1210 (calc 1)/Integrals.md

@@ -81,4 +81,8 @@ $$ \Delta x = \dfrac{1 - 0}{n} = \dfrac{1}{n}$$$$ x_i = 0 + \Delta xi + \dfrac{1
 # Averages
 To find the average value of $f(x)$ on the interval $[a, b]$ is given by the formula:
 
-Average = $\dfrac{1}{b-a} \int_a^b f(x)dx$ 
+Average = $\dfrac{1}{b-a} \int_a^b f(x)dx$ 
+
+# The Fundamental Theorem of Calculus
+Let $f$ be a continuous function on the closed interval $[a, b]$ and let $F$ be any antiderivative of $f$, then:
+$$\int_a^b f(x) dx = F(b) - F(a)$$