Chapter 7.6, Problem 11E

A In Problems 7–16, find each antiderivative. Then use the antiderivative to evaluate the definite integral.

11. (A) ${\displaystyle \int \frac{x}{\sqrt{y+x^2}}dx}$

(B) ${\displaystyle {\int }_0^2\frac{x}{\sqrt{y+x^2}}dx}$