Evaluate the Integral by Making a Substitution and Then Using $$\int \frac { \sqrt { x } } { \sqrt { 9 - x } } d x$$

question 327

Multiple Choice

Evaluate the integral by making a substitution and then using a table of integrals.
- $$\int \frac { \sqrt { x } } { \sqrt { 9 - x } } d x$$

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

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