How would I solve this problem using Fundamental theory of calculus and intervals(how would I solve problems part a to part d?)

Let g(x) = f(t) dt, where f is the function whose graph is shown. 9 6 3 3 6 9 12 15 18 21 -3 (a) Evaluate g(x) for x = 0, 3, 6, 9, 12, 15, and 18. g(0) = 0 g(3) = 10 g(6) = DNE 9(9) = g(12) = g(15) = g(18) =(b) Estimate g(21). (Use the midpoint to get the most precise estimate. ) g(21) = (c) Where does g have a maximum value? Where does it have a minimum value? minimum X -3 maximum X = 19 (d) Sketch a rough graph of g. O O 9 9 21 3 3 X X 21 g(X) g( x) 8(x) 9 X 3 21 O g( x) 9