Let g(x) = ∫x f(t) dt, where f is the function whose graph is shown. (a) Evaluate

Question:

Let g(x) = ∫x f(t) dt, where f is the function whose graph is shown.
(a) Evaluate g(x) for x = 0, 1, 2, 3, 4, 5, and 6.
(b) Estimate g(7).
(c) Where does have a maximum value? Where does it have a minimum value?
(d) Sketch a rough graph of g.

-3. -2