By Part 2 of the Fundamental Theorem of Calculus $\int _ { 0 } ^ { \frac { 1 } { 2 } } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } d x$

Multiple Choice

By part 2 of the Fundamental Theorem of Calculus, $\int _ { 0 } ^ { \frac { 1 } { 2 } } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } d x$ is

A) $\frac { \pi } { 6 }$
B) $\frac { \pi } { 4 }$
C) $\frac { \pi } { 2 }$
D) $\pi$
E) $\frac { 7 \pi } { 6 }$