Problem 1: Give f(x) =x-2x +1 that is defined over [0,6]. (1) Find the approximated area between [0,6] using Trapezoidal rule, where h=1. (2) Find the approximated area between [0,6] using Simpson's 3/8 rule, where h=D2. (3) Find the approximated area between [0,6] using one area segment of Simpson's 3/8. (4) Using Simpson's 1/3 Find the approximated area between [2,6] using 3 points between [4,6] including (4,f(4)), (6, f(6)). (5) Find the absolute error in problem 1. (6) Using 4 points between [0,6] including (0,f(0)). (6, f(6)), find the area between [0,6] using Simpson's 1/3 and Trapezoidal together.