Find the Integral Using an Appropriate Trigonometric Substitution $$\int \frac { x } { \sqrt { 1 - x ^ { 2 } } } d x$$

Multiple Choice

Find the integral using an appropriate trigonometric substitution. Select the correct answer.
$$\int \frac { x } { \sqrt { 1 - x ^ { 2 } } } d x$$

A) $\sqrt { 1 - x ^ { 2 } } + C$
B) $\sqrt { 1 - x } + C$
C) $- \sqrt { 1 - x ^ { 2 } } + C$
D) $- \sqrt { 1 - x } + C$