The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of the integral from 1 to 2 of f of x, dx

Question

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

f(x)	1	3	4	6	7	8	10

x 1 1.1 1.2 1.5 1.7 1.9 2.0

Answer 1

T₆ = 0.5·((1 + 3)·0.1 + (3 + 4)·0.1 + (4 + 6)·0.3 + (6 + 7)·0.2 + (7 + 8)·0.2 + (8·+ 10)01) =

5.75