Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 13 - Section 13.2 - Substitution - Exercises - Page 971: 58

Answer

$e^{x-1}+C$

Work Step by Step

Shortcut formula $:\displaystyle \qquad \int e^{ax+b}dx=\frac{1}{a}e^{ax+b}+C$ $\displaystyle \int e^{x-1}dx=\qquad\left[\begin{array}{l} a=1\\ b=-1 \end{array}\right]$ Apply the formula $=\displaystyle \frac{1}{1}e^{(1)x-1}+C$ = $e^{x-1}+C$
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