Derive directly the elementary Simpson rule on [-1

Derive directly the elementary Simpson rule on [-1, 1] by approximating the integrand f with the Hermit-interpolation polynomial, which interpolates f(-1), f(0), f'(0), and f(1).Show transcribed image text Derive directly the elementary Simpson rule on [-1, 1] by approximating the integrand f with the Hermit-interpolation polynomial, which interpolates f(-1), f(0), f'(0), and f(1).