Question

Given the table below for selected values of f(x), use 6 left rectangles to estimate the value of

the integral from 1 to 10 of f of x dx.

x 1 3 4 6 7 9 10
f(x) 4 8 6 10 10 12 16
Numerical Answers Expected!

Answer 1

Explanation:

Given is a table of x, f(x) as below

x 1 3 4 6 7 9 10

f(x) 4 8 6 10 10 12 16

Mid pt 6 7 8 10 11 14

width of

interval 2 1 2 1 2 1

dA1 12 7 16 10 22 14

area = area of all rectangles= 81 sq units.