Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.5 Exercises - Page 363: 79

Answer

$\frac{7}{2\log2}$

Work Step by Step

Note that $\log$ denotes the natural logarithm. $\int 2^x dx $ $= \frac{2^x}{\log 2}+C$ (indefinite integral) $=(\frac{2^2}{\log2})-(\frac{2^{-1}}{\log2})$ $[-1,2]$ $=\frac{4}{\log 2}{-\frac{1}{2 \log2}}$ $=\frac{7}{2\log2}$
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