Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 5 - The Integral - 5.1 Approximating and Computing Area - Exercises - Page 235: 29

Answer

(a) 45 (b) 24 (c) 99

Work Step by Step

Recall: \begin{equation}\sum_{i=m}^{n}C=C(n-m+1)\end{equation} (a) \begin{equation}\sum_{i=1}^{5}9=9(5-1+1)=45\end{equation} (b) \begin{equation}\sum_{i=0}^{5}4=4(5-0+1)=4\times6=24\end{equation} (c) \begin{equation}\sum_{k=2}^{4}k^{3}=2^{3}+3^{3}+4^{3}=8+27+64=99\end{equation}
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