Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 6 - Analyzing Accumulated Change: Integrals in Action - 6.1 Activities - Page 422: 10

Answer

$-2\times10^{-2}=-0.02$

Work Step by Step

$$\int ^{a}_{-\infty }f\left( x\right) dx=F\left( a\right) -\lim _{N\rightarrow -\infty }F\left( N\right) \Rightarrow $$ $\int ^{10}_{-\infty }4x^{-3}dx=\dfrac {4}{-3+1}\times 10^{-3+1}-\lim _{N\rightarrow -\infty }\dfrac {4}{-3+1}\times N^{-3+1}=-2\times 10^{-2}-\lim _{N\rightarrow -\infty }-2N^{-2}=-2\times10^{-2}$
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