Problem $2.$

sketch the region bounded by the curves $y=x^2-4$ and $y=-3(x^2-4).$ The area of the region can be expressed as ${\displaystyle \underset{a}{\overset{b}{}}}f(x)dx$ where, in the case $a=b=f(x)=f(x)\left[\begin{array}{cc}1& 2\end{array}\right]a,$

$a=$

$b=$

$f(x)=$

$$

Note: Write the integrand $f(x)$ without making use $ofabsolute$ values.

The area between the curves $is$: $$

Note: You can earn partial credit $on$ this problem.

Jump $to$ Problem: $\left[\begin{array}{cc}1& 2\end{array}\right]$