The Graph of the Function $f ( x ) = 16 - x ^ { 2 }$

Multiple Choice

The graph of the function $f ( x ) = 16 - x ^ { 2 }$ is given below. Which of the following definite integrals yields the area of the shaded region?

A) $\int _ { 0 } ^ { 16 } \left( 16 - x ^ { 2 } \right) d x$
B) $\int _ { - 4 } ^ { 0 } \left( 16 - x ^ { 2 } \right) d x$
C) $\int _ { 0 } ^ { 4 } \left( 16 - x ^ { 2 } \right) d x$
D) $\int _ { - 16 } ^ { 16 } \left( 16 - x ^ { 2 } \right) d x$
E) $\int _ { - 4 } ^ { 4 } \left( 16 - x ^ { 2 } \right) d x$