\begin{frame}
  \frametitle{Antiderivatives / Integrals}
  
  \begin{block}{}
    A function $F$ is called \emph{antiderivative} of $f$ on an interval $I$ \\
    if $F'(x) = f(x)$ for all $x$ in $I$.
  \end{block}
  \pause
  
  \begin{exampleblock}{}
    Let $f(x) = x^2$ then an antiderivative of $f$ is
    \begin{talign}
      F(x) = \mpause[1]{\frac{1}{3}x^3}
    \end{talign}
    \pause\pause
    However $f$ has more antiderivatives; every function of the form
    \begin{talign}
      G(x) = \mpause[1]{\frac{1}{3}x^3 + C \quad\quad \text{where $C$ is a constant}}
    \end{talign}
    \pause\pause
    Can there be other antiderivatives? \pause
    No! by next theorem\ldots  
  \end{exampleblock}
  
\end{frame}