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

question 149

Multiple Choice

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

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

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