Let f(x) be defined as follows: f(x) = {0 if x < -3, 2 if -3 <= x < -1, -3 if -1 <= x < 5, 0 if x >= 5}. Also, let g(x) be the integral of f(t) with respect to t, from -3 to x. Determine the value of each of the following:
(a) g(-5)
(b) g(-2)
(c) g(0)
(d) g(?)
