AB 6. (a) f (t)dt = F(2) = 4.
(b) One estimate might be f (t)dt F(7) − F(2) = 2 − 4 = −2.
(c) f (x) = F′ (x); F′ (x) = 0 at = 4.
(d) f ′(x) = F ′′(x). F ′′ is negative when F is concave downward, which is true for the entire
interval 0 < x < 8.
(e)Then the graph of G is the graph of F translated downward 4 units.