## Calculus 8th Edition

Published by Cengage

# Chapter 5 - Applications of Integration - 5.2 Volumes - 5.2 Exercises: 21

-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.

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