Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.3* The Natural Exponential Function - 6.3* Exercises - Page 454: 83



Work Step by Step

$\int_0^1(e^x+x^e)dx$ $=(e^x+\frac{x^{e+1}}{e+1})|_0^1$ $=(e^1+\frac{1^{e+1}}{e+1})-(e^0+\frac{0^{e+1}}{e+1})$ $=(e+\frac{1}{e+1})-(1+0)$ $=e+\frac{1}{e+1}-1$ $=\frac{1}{e+1}+e-1$
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