To test our claim about the accuracy of these methods, use Program 8.4 to calculate the integral

Question:

To test our claim about the accuracy of these methods, use Program 8.4 to calculate the integral +Df xdx I = (m + 1) (8.3.22)

which we know has the value I = 1 for any positive integer m.

Program 8.4

We can write a nice compact program that allows us to integrate some function f (x) using a particular order of the Newton–Coates formula by taking advantage of the switch operator, which is a useful alternative to implementing many if-else statements. 1 function out = integrate_Newton_Coates (a, b, n) % a = lower bound of integral 2 3 % b = upper bound of