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

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) $9 \sin ^ { - 1 } \left( \frac { \sqrt { x } } { 3 } \right) + x \sqrt { 9 - x } + C$