ABSTRACT

Evaluate integral fI22Sf(x) dx using the trapezoid rule with n = I, 2, 4, and 8 intervals. The exact value is 8.43592905. Compute the errors and the ratios of the errors.

Table 2 Tabular Data

x f(x) x f(x) x f(x) 0.4 6.0900 1.4 6.9686 2.2 4.4782 0.6 7.1400 1.6 6.5025 2.4 3.6150 0.8 7.4850 1.8 5.9267 2.6 2.6631 1.0 7.5000 2.0 5.2500 2.8 1.6243 1.2 7.3100

9. Consider the function f(x) tabulated in Table 2. Evaluate the integral f~~ f(x) dx using the trapezoid rule with n = 1, 2, 4, and 8 intervals. The exact value is 10.92130980. Compute the errors and the ratios of the errors.