Answer
-9
Work Step by Step
Take the antiderivative of 4-2x and you get 4x-$\frac{1}{2}$(2)$x^{2}$, which equals 4x - $x^2$. You then just plug in the upper and lower bounds into the equation to get [4(5) - ($5^2$)]-[4(2) - ($2^2$)]. This then simplifies to [20-25]-[8-4], which gives you the answer of -5-4 = -9.
