Answer
$$ - 18$$
Work Step by Step
$$\eqalign{
& \int_{ - 2}^4 {\left( { - 3} \right)} dp \cr
& {\text{use the constant multiple rule }}\int k f\left( x \right)dx = k\int {f\left( x \right)dx} \cr
& = - 3\int_{ - 2}^4 {dp} \cr
& {\text{integrate by using }}\int {dx} = x + C.{\text{ then}} \cr
& = - 3\left[ p \right]_{ - 2}^4 \cr
& {\text{use fundamental theorem of calculus }}\int_a^b {f\left( x \right)} dx = F\left( b \right) - F\left( a \right).\,\,\,\,\left( {{\text{see page 388}}} \right) \cr
& = - 3\left[ {4 - \left( { - 2} \right)} \right] \cr
& {\text{simplifying}} \cr
& = - 3\left( 6 \right) \cr
& = - 18 \cr} $$
