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\begin{enumerate}[ref={\fcProblemRef}]
\item Find the Maclaurin series for $xe^{x^3}$.

\answer{$\displaystyle \sum\limits_{n=0}^{\infty} \frac{ x^{3n+1}}{ n!}$ }
\item Use your series to find the Maclaurin series of $\displaystyle\int x e^{x^3}\diff x$.

\answer{\begin{tabular}{l}
$\displaystyle C+\sum\limits_{n=0}^{\infty} \frac{ x^{3n+2}}{ (3n+2) n!}$\\
note the integral \\
can't be integrated with elementary\\
functions.
\end{tabular}
}
\end{enumerate}
