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

question 116

Multiple Choice

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

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