Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 5 - Section 5.4 - Indefinite Integrals and the Net Change Theorem - 5.4 Exercises - Page 410: 57

Answer

The units for the integral are $~~newtons\times meters,~$ which are $~~joules$

Work Step by Step

When we have an integral $\int_{a}^{b}f(x)~dx$, then the units of measurement when we evaluate the integral are the product of the units for $f(x)$ and the units for $x$. Consider the following integral: $\int_{0}^{100}f(x)~dx$ The units for $f(x)$ are $~newtons~$ and the units for $x$ are $~meters~$. Therefore, the units for the integral are $~~newtons\times meters$, which are $~~joules$
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