Calculus 8th Edition

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

Chapter 7 - Techniques of Integration - 7.5 Strategy for Integration - 7.5 Exercises - Page 547: 19

Answer

$$e^{e^x}+c$$

Work Step by Step

Given $$ \int e^{x+e^x}dx=\int e^{x} e^{e^x}dx $$ Let $u= e^x \ \ \Rightarrow \ \ du=e^xdx $, then \begin{align*} \int e^{x+e^x}dx&=\int e^{x} e^{e^x}dx\\ &= \int e^{u}du\\ &=e^u+c\\ &=e^{e^x}+c \end{align*}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.