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\noindent {\LARGE M}{\large ath} {\LARGE 120} {\LARGE S}{\large pring} {\LARGE 98}
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{\Large Quiz {\bf 2}}\hspace{7cm} & \hspace{1.65in} & \\
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Name: \makebox[2in]{\hrulefill}  & \hspace{1.5in} & \\
 & \hspace{1.5in} &  Basic~Calculus~2  \\
Date: \makebox[2in]{\hrulefill} & \hspace{1.5in} & {\bf Friday January 30} \\
Time Begun: \makebox[2in]{\hrulefill} & \hspace{1.5in} & Ron Buckmire \\ 
Time Ended: \makebox[2in]{\hrulefill} & \hspace{1.5in} &  \\
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{\Large {\bf Topic covered:}} Evaluating the definite integral
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{\Large {\bf Instructions: }}
\begin{itemize}
\item[1.] Once you open the quiz, you have 60 minutes to complete it.
\item[2.] You may use the book or any of your class notes, and you may use a calculator.  You must work alone.
\item[3.] If you use your own paper, please staple it to the quiz before coming to class.  If you don't have a stapler, buy one.
\item[4.] After completing the quiz, sign the pledge below stating on your honor that you have adhered to these rules.  
\item[5.] Relax and enjoy...
\item[6.] {\bf This quiz is due on Monday, February 2}, in class.  NO LATE QUIZZES WILL BE ACCEPTED.
\end{itemize}

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{\bf Pledge:} I, \makebox[2in]{\hrulefill}, pledge my honor as a human being and Occidental student, that I have followed all the rules above to the letter and in spirit.
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Math 120 Spring 1998 \hfill{Quiz {\bf 2}}
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\vspace{-7.5ex}   {\large\bf SHOW ALL YOUR WORK}\\
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\begin{itemize}
\item[1.] Given 
$$
f(x) = 
\left\{
\begin{array}{llr}
-1, & \mbox{ if } & -4 \le x < 0 \\
x - 1, & \mbox{ if } &  0 \le x \le 4
\end{array}
\right.
$$
\item[(a)] ({\it 3 points}) Sketch the function $f(x)$ on the axes below

\centerline{\psfig{figure=fig-01.29.98.ps,height=2.5in,angle=270}}

\item[(b)] ({\it 2 points}) Use your graph to help you evaluate ${\displaystyle \int_{-4}^0 \! f(x) \, dx}$ {\it exactly}.
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\item[(c)] ({\it 2 points}) Use your graph to help you evaluate ${\displaystyle \int_{0}^4 \! f(x) \, dx}$ {\it exactly}.
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\item[(d)] ({\it 2 points}) Use your previous answers to help you evaluate ${\displaystyle \int_{-4}^4 \! f(x) \, dx}$ {\it exactly}.
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\item[2.] ({\it 1 point}) Now suppose $f(x)$ was defined as $f(x) = e^{x^2}, -4 \le x \le 4$ instead. Why wouldn't you be able to use the same technique you used in question {\bf (1)} to evaluate ${\displaystyle \int_{-4}^{4} e^{x^2} \, dx}$ {\it exactly}?
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\end{itemize}
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