More Approximations Left-hand sum: use rectangles, left endpoint used for height Right-hand sum: use rectangles, right endpoint used for height Midpoint.

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Presentation transcript:

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.