# BEGIN QUESTION name: q2 manual: true
Question 2. Evaluate the integral:
$$ \int x e^x \, \mathrm dx $$
# BEGIN PROMPT
$$ \begin{aligned} \int x e^x \, \mathrm dx &= \texttt{# YOUR MATH HERE} \\ \end{aligned} $$
# END PROMPT
# BEGIN SOLUTION
SOLUTION:
$$ \begin{aligned} \int x e^x \, \mathrm dx &= x e^x - \int e^x \, \mathrm dx \\ &= x e^x - e^x + C \\ &= e^x (x - 1) + C \\ \end{aligned} $$
# END SOLUTION
# END QUESTION