# 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