\begin{frame} \frametitle{The Substitution Rule: Exercises} \begin{exampleblock}{} \begin{malign} \int e^{-x}\, dx &&\text{take $u = \mpause[1]{-x}$} \end{malign} \pause \end{exampleblock} \pause \begin{exampleblock}{} \begin{malign} \int x^3(2+x^4)^5\, dx &&\text{take $u = \mpause[1]{2+x^4}$} \end{malign} \pause \end{exampleblock} \pause \begin{exampleblock}{} \begin{malign} \int x^2\sqrt{x^3+1}\, dx &&\text{take $u = \mpause[1]{x^3+1}$} \end{malign} \pause \end{exampleblock} \pause \begin{exampleblock}{} \begin{malign} \int \frac{1}{(1-6t)^4}\, dt &&\text{take $u = \mpause[1]{1-6t}$} \end{malign} \pause \end{exampleblock} \pause \begin{exampleblock}{} \begin{malign} \int \cos^3 \phi \,\sin \phi\, dt &&\text{take $u = \mpause[1]{\cos \phi}$} \end{malign} \pause \end{exampleblock} \pause \begin{exampleblock}{} \begin{malign} \int \frac{\sec^2(\frac{1}{x})}{x^2}\, dt &&\text{take $u = \mpause[1]{\frac{1}{x}}$} \end{malign} \pause \end{exampleblock} \end{frame}