The Graph of the Function $g ( y ) = y ^ { 3 }$

Multiple Choice

The graph of the function $g ( y ) = y ^ { 3 }$ is given below. Which of the following definite integrals yields the area of the shaded region?

A) $\int _ { - 2 } ^ { 2 } y ^ { 3 } d y$
B) $\int _ { - 2 } ^ { 0 } y ^ { 3 } d y$
C) $\int _ { 0 } ^ { 8 } y ^ { 3 } d y$
D) $\int _ { 0 } ^ { 2 } y ^ { 3 } d x$
E) $\int _ { 0 } ^ { 2 } y ^ { 3 } d y$