Please provide an explanation with steps.
1
3.(a) Use Simpson's rule with n = 2 to estimate
3 + x
1
(b) Use Simpson's rule with n = 4 to estimate
dx. 3+x
(c) Use Richardson's extrapolation to improve your approximation (For Simpson's rule, the order is 4)
(d) Evaluate the exact value of the integral and compute the errors made in (a), (b), and (c)