Chapter 8.1, Problem 3E

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

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

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

(c) $\frac{1}{2}\sqrt{x^2+1}+C$ (d) $\ln (x^2+1)+C$