More Approximations Left-hand sum: use rectangles, left endpoint used for height Right-hand sum: use rectangles, right endpoint used for height Midpoint rule: use rectangles, midpoint used for height Trapezoid rule: use trapezoids
Ex. Approx. using midpoint rule, n = 3.
Ex. Approx. using trapezoid rule, n = 3.
Ex. For each of the previous examples, did we get an overestimate or an underestimate of the true value? Why?
Ex. Given values in the table, approximate using MID(4) and TRAP(4). 1 2 3 4 5 6 7 8 f (x) -1 9 14 16 20
Your next chapter test will be on Wednesday.