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: 8

Answer

$\infty$

Work Step by Step

$\int ^{\infty }_{a}f\left( x\right) dx=\lim _{N\rightarrow \infty }F\left( N\right) -F\left( a\right) \Rightarrow $ $\int ^{\infty }_{5}\left( 5\left( 0.36x\right) +5\right) dx=\lim _{x\rightarrow \infty }\left( 5x+\dfrac {5}{\ln 0.36}\times 0.36^{x}\right) -(5\times5+\dfrac {5}{\ln 0.36}\times 0.36^{5})=\infty $
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