Find the Integral Using an Appropriate Trigonometric Substitution $$\int x \sqrt { 9 - x ^ { 2 } } d x$$

question 74

Multiple Choice

Find the integral using an appropriate trigonometric substitution.
$$\int x \sqrt { 9 - x ^ { 2 } } d x$$

• A) \(\frac { 1 } { 3 } x ^ { 2 } \left( 9 - x ^ { 2 } \right) ^ { 3 / 2 } + C\)
• B) \(- \frac { 1 } { 3 } \left( 9 - x ^ { 2 } \right) ^ { 3 / 2 } + C\)
• C) \(- \frac { 1 } { 3 } x ^ { 2 } \left( 9 - x ^ { 2 } \right) ^ { 3 / 2 } + C\)
• D) \(\frac { 1 } { 3 } \left( 9 - x ^ { 2 } \right) ^ { 3 / 2 } + C\)

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