When Pentan-3-one reacts with hydrazine (H$_2$N-NH$_2$), it forms a hydrazone derivative. Upon further heating with KOH in ethylene glycol, it undergoes the Wolff-Kishner reduction, leading to the complete removal of the carbonyl oxygen and yielding n-pentane. 
In the given reaction sequence, the structure of Y would be:


Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.