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\begin{frame}
  \frametitle{Indefinite Integrals}
  
  \begin{block}{}
    The \emph{indefinite integral}
    \begin{talign}
      \int f(x)dx
    \end{talign}
    is a notation for an antiderivative. That is 
    \begin{talign}
      \int f(x)dx = F(x) &&\text{means} && F'(x) = f(x)
    \end{talign} 
  \end{block}
  \pause
  \begin{exampleblock}{}
    For example
    \begin{talign}
      \int x^2\,dx = \frac{1}{3}{x^3} + C
    \end{talign}
  \end{exampleblock}
  \medskip\pause
  \only<-3>{
  \begin{alertblock}{}
    Note the difference between the definite and indefinite integral!\\[.5ex]
    The definite integral $\int_a^b f(x)\,dx$ is a number.\\[.5ex]
    The indefinite integral $\int f(x)\,dx$ is a function.
  \end{alertblock}
  }
  \pause
  The 2nd part of the Fundamental Theorem can be restated as:
  \begin{block}{}
    If $f$ is a continuous function then
    \begin{talign}
      \int_a^b f(x)\,dx \;=\; \int f(x)\,dx\Big]_a^b
    \end{talign}
  \end{block}

  \vspace{10cm}
\end{frame}