\begin{frame}
  \frametitle{The Substitution Rule for Definite Integrals}

  Methods for evaluating a \emph{definite integral using substitution}:\vspace{-.5ex}  
  \begin{talign}
    \int_a^b f(x) dx
  \end{talign}\vspace{-1.5ex}
  \pause

  \begin{block}{Method 1}
    \begin{itemize}
  \pause
      \item evaluate the indefinite integral $\int f(x) dx$ using substitution 
  \pause
      \item then use the Fundamental Theorem $\int_a^b f(x) dx = \int f(x) dx \big]_a^b$
    \end{itemize}
  \end{block}
  \pause
  \begin{exampleblock}{}
    \begin{malign}
    \int_0^4 \sqrt{2x+1}\,dx 
    = \mpause[1]{\int \sqrt{2x+1} \, dx \big]_0^4} 
    \mpause{ = \frac{1}{3}(2x+1)^{\frac{3}{2}}\big]_0^4 }
    \mpause{ = 9 - \frac{1}{3} } 
    \mpause{ = \frac{26}{3} }
    \end{malign}
  \end{exampleblock}
  \pause\pause\pause\pause\pause
  
  \subruled
\end{frame}