Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of the integral from 1 to 10 of f(x) dx. x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16

Answerthe estimated value is 81explanationarea of a trapezoid:     area = 1/2(a+b)(h)where a and b are the lengths of the "roof" and the base of the trapezoid (addition order does not matter) and h is the height.in the diagram, the height of the trapezoid is  δx and the roofs and lengths are the function values, f(x).therefore, the integral can be approximated as follows:     therefore,