The area bounded by $y = xe^{|x|}$ and the lines $|x| = 1$, $y = 0$ is
Step-by-Step Solution
Key Concept: Determine which function is on top, then integrate the difference over the interval of intersection.
The area between $y = x^2$ and $y = x$ from $0$ to $1$ is $\int_0^1(x - x^2)dx = [\frac{x^2}{2} - \frac{x^3}{3}]_0^1 = \frac{1}{2} - \frac{1}{3} = \frac{1}{6}$ sq unit.
Correct Answer: 2