Captain Hagberd and old Mr. Carvil are both irritable people who have a tendency to overreact to situations because their ability to deal with them is limited. On the same boat but in a different situation, Captain Hagberd calls Bessie when he wants something, shouting loudly like he is out of control, and old Mr Carvil, a fat blind man who had given himself up to a very lust of laziness, calls Bessie when he wants something, shouting loudly like he is out of control.
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 $y = 0$.