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{\bf Math 166: Honors Calculus II}
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{\bf Quiz 1}\quad {\sl Jan. 26, 1995}

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\item 
  \begin{enumerate}[a)]
  \item State the \textsc{First Fundamental Theorem of Calculus}.
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  \item State the \textsc{Second Fundamental Theorem of Calculus}.
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  \item Use a) to prove b)
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  \end{enumerate}

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\item 
  \begin{enumerate}[a)]
  \item 
  Integrate $\int \cos^3(x)\sin^2(x)\,dx$.
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  \item 
  Integrate $\int x^2\sin(x)\,dx$.
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  \item 
  Compute $\frac{d}{dx}\int_{3x}^{x^2} \frac{1}{\sqrt{\cos(t) + \sin(t)}}\,dt$.
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