Evaluate the definite integral.

${\displaystyle \underset{-2}{\overset{3}{}}}(x-4|x|)dx$

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If $w^{\text{'}}(t)$ is the rate of growth of a child in pounds per year, what does ${\displaystyle \underset{8}{\overset{11}{}}}{w}^{\text{'}}(t)dt,$ represent?

The child's weight at age $8.$

The change in the child's weight $($in pounds$)$ between the ages of $8$ and $11.$

The change in the child's age $($in years$)$ between the ages of $8$ and $11.$

The child's weight at age $11.$

The child's initial weight at birth.

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