Question

(3 points) Combine steps 1 – 3 and evaluate the integral numerically using the composite Simpson's rule(Equation A-25 in Appendix A.4) with 5 points and again with 51 points. On paper, you should write the general equation for the numerical integration and the f(x) for this problem. Then you may use Excel to evaluate the function inside the integral (the integer and) at each point needed by the numerical integration formula and to evaluate the formula. Write the final answers on paper. How did the solution compare using 5 points and using 51 points?

Fig: 1