Let $A$ be the area enclosed by the two curves $y = x ^ { 3 } + x ^ { 2 }$, $y = - x ^ { 2 } + k$, and the $y$-axis, and let $B$ be the area enclosed by the two curves $y = x ^ { 3 } + x ^ { 2 }$, $y = - x ^ { 2 } + k$, and the line $x = 2$. When $A = B$, what is the value of the constant $k$? (Here, $4 < k < 5$) [4 points]\\
(1) $\frac { 25 } { 6 }$\\
(2) $\frac { 13 } { 3 }$\\
(3) $\frac { 9 } { 2 }$\\
(4) $\frac { 14 } { 3 }$\\
(5) $\frac { 29 } { 6 }$