Chapter 8.1, Problem 4E

Choosing an Antiderivative In Exercises 3 and 4, select the correct antiderivative.

${\displaystyle \int \frac{x}{x^2+1}dx}$

(a) $\ln \sqrt{x^2+1}+C$ (b) $\frac{2x}{{(x^2+1)}^2}+C$

(c) $\arctan x+C$ (d) $\ln (x^2+1)+C$