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%%Some definitions for the header. These can be moved to a separate
%%file. 
\newcommand{\CourseNumber}{MA113:005-008}
\newcommand{\CourseName}{Calculus I}
\newcommand{\DayTime}{MWF 10--10:50pm}
\newcommand{\Room}{CB110}
\newcommand{\Semester}{Fall 2001}
\newcommand{\Instructor}{Russell Brown}


\begin{document}

\begin{flushleft}
  \CourseName \hfill Practice quiz \\
Name:\rule{2in}{0.01in} \hfill Section:\rule{2in}{0.01in} \\

\medskip

Answer all of  the questions in the space provided. This quiz will not be
collected or graded. 
\begin{enumerate}

\item Use the fundamental theorem of calculus to solve the following
  problems.
\begin{enumerate}
\item Find the derivative of 
$$
h(x) = \int _{ -x^3}^{x^2}\sin(t) \, dt.
$$
\item Find the limit below by first expressing the limit as an
  integral and then evaluating the integral. 
  $$ \lim _{n\rightarrow \infty } \sum _{ i =
  1}^ { 2n} \frac {i^3 } {n^4}  $$

\end{enumerate}

\item Evaluate the indefinite integral
$$
\int \frac { 1 + 3x^2 + x^5} { x^ 4} \, dx.
$$
\item Evaluate using the substitution rule,
$$
\int _1^3 \frac x { ( x^2 + 1)^2} \, dx.
$$
\end{enumerate}
\end{flushleft}
\end{document}
