Answer Happy

(c) Calculate the leading order error for the L, rule on a subinterval of width Ar. (d) In view of your answer to part (c), make a fair comparison of the La quadrature rule and the three-point Gaussian rule. (ii) Suppose that after performing a calculation with the La rule on N subintervals, a second calculation us made, this time using 2N subintervals. How many new evaluations of the integrand are required? What is the corresponding value for the three-point Gaussian rule (i.e. how many new evaluations are required to apply the rule on 2N subintervals if it has already been applied on N subintervals)? Explain your answers.