Determine the Area of the Region Bounded by the Curve $y = x ^ { 3 }$

Multiple Choice

Determine the area of the region bounded by the curve $y = x ^ { 3 }$ and the line y = 3x + 2.

A) $\frac { 2.5 } { 4 }$
B) $\frac { 2.7 } { 4 }$
C) $\frac { 2.9 } { 4 }$
D) $\frac { 31 } { 4 }$