Because fx x2 x is increasing over the interval from x 0

Question

Question: Because f(x) = x² + x is increasing over the interval from x = 0 to x = 2, function values at the right-hand endpoints are maximum values for each subinterval, and function values at the left-hand endpoints are minimum values for each subinterval. How would the approximate area using n = 10 and any other point within each subinterval compare with S_L (10) and S_R (10)? What would happen to the area result as n → ∞ if any other point in each subinterval were used?