1derive algebraically the 2nd order simpsons rule

Question

(1)Derive, algebraically, the 2nd order (Simpson's Rule) integration formula using 3 equally spaced sample points, f₀,f₁,f₂ with an increment of h.

(2) Using software such as Mathematica to find the 8th-order integration rule using 9 equally spaced sample points f₀,f₁,f₂,f₃,f₄,f₅,f₆,f₇,f₈. Copy and paste the computer results into a printable file.