Problem 1: Evaluate the integral of the given function from n=1 to n=20 using the following methods. (1-x- -x-4x+2x)dx A. Improved trapezoidal using Romberg Integration B. Simpson 1/3 rule C. Simpson 3/8 rule Problem 2: Use Richardson extrapolation to estimate the first derivative of y = sin x at x = using step sizes h = and h = 7. Employ the truncated (a)FDD, (b) BDD, (c) CDD 4