Response to the following:
Please give the complete solution, include reasoning and calculations used to arrive at answer. If you use a particular theorem please identify it. We cannot use any high level command from Maple, Mathematica or MatLab.
Trapezoid Rule & Extrapolation
A definite integral is being approximated using the composite Trapezoid Rule. With 2 subin-tervals the approximation is T2 = 17.4964, with 4 subintervals the approximation is T4 = 13.9962, with 8 subintervals the approximation is T8 = 13.0851, and with 16 subintervals the approximation is T16 = 12.855. Use extrapolation to improve these approximations.