Answer
$\int_{1}^{3}e^{x+2}~dx = e^5-e^3$
Work Step by Step
We can evaluate the integral using properties of integrals:
$\int_{1}^{3}e^{x+2}~dx$
$= \int_{1}^{3}e^x\cdot e^2~dx$
$= e^2\int_{1}^{3}e^x~dx$
$= e^2(e^3-e)$
$= e^5-e^3$
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 5 - Section 5.2 - The Definite Integral - 5.2 Exercises - Page 396: 55
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