Because f (x) = x2+x is increasing over the interval from x=0 to x=2, function values at

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 SL (10) and SR (10)? What would happen to the area result as n †’ˆž if any other point in each subinterval were used? When the area under f (x) = x2 x from x = 0 to x = 2 is approximated, the formulas for the sum of n rectangles using left-hand endpoints and right-hand endpoints are