Use Romberg integration to evaluateto an accuracy of εs = 0.5%. Your results should be pre...

Use Romberg integration to evaluate

to an accuracy of ε_s = 0.5%. Your results should be presented in the format of Fig. 20.1. Use the analytical solution of the integral to determine the percent relative error of the result obtained with Romberg integration. Check that ε_t is less than ε_s.

Fig. 20.1: Graphical depiction of the sequence of integral estimates generated using Romberg integration. (a) First iteration. (b) Second iteration. (c) Third iteration.