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

question 58

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) \(\pi-1\)