Calculus (3rd Edition)

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

Chapter 7 - Exponential Functions - 7.1 Derivative of f(x)=bx and the Number e - Exercises - Page 328: 72



Work Step by Step

We have $$ \int_2^5\left(e^{-\frac{x}{2}}\right) d x=-2\int_2^5\left(-\frac{1}{2}e^{-\frac{x}{2}}\right) d x =-2\left[e^{-\frac{x}{2}}\right]_2^6= -2(e^{-3}-e^{-1}) . $$
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