Answer
$$\int 2 x e^{x^{2}} d x=e^{x^2}+c$$
Work Step by Step
Given $$
\int 2 x e^{x^{2}} d x
$$
Let $ u=x^2\ \to\ \ du=2xdx$. Thus:
\begin{align*}
\int 2 x e^{x^{2}} d x&=\int e^{u} du\\
&=e^u+c\\
&=e^{x^2}+c
\end{align*}
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: 2
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