Answer
$\dfrac {\left( 1+e^{x}\right) ^{3}}{3}+C$
Work Step by Step
$u=1+e^{x}\Rightarrow du=e^{x}dx$
$$\int \left( 1+e^{x}\right) ^{2}e^{x}dx=\int u^{2}du=\dfrac {u^{3}}{3}+C=\dfrac {\left( 1+e^{x}\right) ^{3}}{3}+C$$
Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition
by LaTorre, Donald R.; Kenelly, John W.; Reed, Iris B.; Carpenter, Laurel R.; Harris, Cynthia R.
Published by
Brooks Cole
ISBN 10:
1-43904-957-2
ISBN 13:
978-1-43904-957-0
Chapter 5 - Accumulating Change: Limits of Sums and the Definite Integral - 5.9 Activities - Page 409: 5
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