Question

3) The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of int f(x) dx from 1 to 2 . Give 3 decimal places for your answer.

x 1 1.1 1.2 1.5 1.7 1.9 2.0
f(x) 1 2 4 6 7 9 10

Answer 1

please help! I've been trying to use my notes and the usual rule but I can't seem to get it.

Answer 2

not sure what's the trouble. You have the base lengths and the heights. Too bad you didn't show your work. It's just

(1+2)/2 * 0.1 + (2+4)/2 * 0.1 + ...

for the whole list of six intervals