$\let F'(x)$ be the rate of change of a function, $F(x)$. Then the net change (or [[Displacement]]) of F(x) from $x=a$ to $x=b$ is $\int_a^bF(x)\d{x}$ The total change (or [[Distance]]) of a function $F'(x)$ from $x=a$ to $x=b$ is $\int_a^bF(x)\d{x}$. >[!tldr] > The [[Net Change Thereom]] is an outcome of the [[Fundamental Theorem of Calculus]].