Find the total area between the region and the x-axis
y=-x^2-2x, -3(less than equal to)x(less than equal to) 2
I started the problem but my answer does not match the answer in the textbook
$\displaystyle \text{Area}=\int_a^b (f(x)-g(x))dx,\ f(x)\geq g(x)$
Find the intervals where $\displaystyle f(x)\geq g(x)$ and vice versa. $\displaystyle g(x)=0$ in this problem.
Hint: $\displaystyle f(x)=x^2-2x=x(x-2)$ and study for which intervals that $\displaystyle f(x) \geq 0$ and for which $\displaystyle f(x) \leq 0$.