Answer
$\ln \left( x^{2}+1\right) +c$
Work Step by Step
$U=x^{2}+1\Rightarrow dU=2xdx$
$$\Rightarrow \int \dfrac {2x}{x^{2}+1}dx=\int \dfrac {dU}{U}=\ln U+c=\ln \left( x^{2}+1\right) +c$$
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: 15
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