Calculus 8th Edition

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

Chapter 7 - Techniques of Integration - 7.1 Integration by Parts - 7.1 Exercises: 4

Answer

\begin{equation*} =5ye^{0.2y}-25e^{0.2y}+C \end{equation*}

Work Step by Step

$\int ye^{0.2y}dy$ Let $u=y$ and $dv=e^{0.2y}dy$ then $du=dy$ and $v=\frac{e^{0.2y}}{0.2}=5e^{0.2y}$ and therefore \begin{equation*} \int ye^{0.2y}dy=5ye^{0.2y}-\int 5e^{0.2y}dy \end{equation*} \begin{equation*} =5ye^{0.2y}-25e^{0.2y}+C \end{equation*}
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