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\begin{center}
{\Large Warm-Up Problems

February 3, 2003}
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\begin{enumerate}

\item Find the integrals (what technique will you use?)
	\begin{enumerate}
	\item  \[  \int xe^{2x} \; dx \]
	\sol $e^{2x}(x/2 - 1/4)+C$
	\item  \[  \int \ln (3\sqrt{x}) \; dx \]
	\sol $x\ln 3 + (x\ln x - x)/2 + C$
	\item  \[  \int x \sin(\pi x) \; dx \]
	\sol $-(x \cos(\pi x))/\pi + (\sin(\pi x))/\pi +C$
	\item  \[  \int x^3 \sin x^2 \; dx \]
	\sol $-x^2/2(\cos(x^2) + (\sin(x^2))/2 +C$
	\end{enumerate}
 



\end{enumerate}

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