Evaluate the Integral Using an Appropriate Trigonometric Substitution $\int_{0}^{\sqrt{2}} \frac{x^{2}}{\sqrt{4-x^{2}}} d x$

Multiple Choice

Evaluate the integral using an appropriate trigonometric substitution. $\int_{0}^{\sqrt{2}} \frac{x^{2}}{\sqrt{4-x^{2}}} d x$

A) $\pi$
B) $\frac{\pi}{2}-1$
C) $\frac{2 \pi}{3}-\frac{\sqrt{3}}{2}$
D) $\pi-1$