Use the table to find lower and upper estimates for..

Question

30

f(x) dx.

10

lower estimate
upper estimate
x	10	14	18	22	26	30
f(x)	−10	−8	−4	2	6	7

Answer 1

The difference between observations is 4, and the values of f(x) are increasing.

So the lower estimate will be 4 times the sum of the first five entries for f(x), and the upper estimate will be 4 times the sum of the last five entries.