Simpson’s Method is another approximation to the integral which uses parabolas instead of lines to approximate f(x): Z b a f(x) dx ≈ ∆x 3 (f(x0) + 2f(x1) + 4f(x2) + 2f(x3) + 4f(x4) + · · · + 4f(xn−2) + 2f(xn−1) + f(xn)) (a) Use the function simps in the scipy. integrate package to compute Simpson’s Approximation using n = 100 subintervals. (b) The value of the integral to 10 decimal places is 1.2112096245. Use this value to estimate the error |actual − estimate| in each of the five approximations.