# Second fundamental theorem of calculus

$$
\int_a^b f(x) dx = F(b) - F(a)
$$

Where `F()` is the anti-derivative of `f()`

$$
\begin{align*}

\int_a^b x^2 dx &= [\frac{x^3}{3}]_a^b
\\ \\
&= \frac{b^3}{3} - \frac{a^3}{3}

\end{align*}
$$

