The area of the region $A = \{(x,y): 0 \leq y \leq x|x| + 1$ and $-1 \leq x \leq 1\}$ in sq. units, is (1) $\frac{4}{3}$ (2) 2 (3) $\frac{1}{3}$ (4) $\frac{2}{3}$
The area of the region $A = \{(x,y): 0 \leq y \leq x|x| + 1$ and $-1 \leq x \leq 1\}$ in sq. units, is\\
(1) $\frac{4}{3}$\\
(2) 2\\
(3) $\frac{1}{3}$\\
(4) $\frac{2}{3}$