\begin{frame} \frametitle{Indefinite Integrals: Applications} \applications \begin{exampleblock}{} We consider an object moving in a straight line: \begin{itemize} \pause \item $s(t)$ is the position function \pause \item $v(t) = s'(t)$ is the velocity \end{itemize} \pause Then \begin{talign} \int_{t_1}^{t_2} v(t) dt = s(t_2) - s(t_1) \end{talign} is the net change of the position, the \emph{displacement}, from time $t_1$ to $t_2$. \end{exampleblock} \vspace{10cm} \end{frame}