Question

Use inscribed rectangles to approximate the area under f(x) = –x2 + 7 for the –2 ≤ x ≤ 0 and rectangle width 0.5.

Answer 1

You will have to evaluate f(x) for x = -2.0, -1.5, -1.0, and -0.5

You're lucky on this one since it is strictly non-decreasing on the interval.