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) $\int _ { 0 } ^ { 2 } y ^ { 3 } d y$

Question

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) $\int _ { 0 } ^ { 2 } y ^ { 3 } d y$

Quizplus · Accepted Answer

The Answer of 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) $\int _ { 0 } ^ { 2 } y ^ { 3 } d y$

The Graph of the Function g(y)=y3g ( y ) = y ^ { 3 }g(y)=y3

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