Find the area of the region $\{ (x,y) : 0 \leq y \leq x^2, 0 \leq y \leq x+2 , 0 \leq x \leq 3\}$

Question

$(A)\; \frac{41}{6}\;sq\;units$
$(B)\; \frac{43}{6}\;sq\;units$
$(C)\; \frac{51}{6}\;sq\;units$
$(D)\; \frac{53}{6}\;sq\;units$