Question: Derive Simpson s rule with error term by using x 2 f ( x ) dx = a 0 f ( x 0 ) +

Derive Simpsons rule with error term by using x2 f (x) dx= a0 f (x0)+ a1 f (x1)+ a2 f (x2)+ k f (4)(). x027.28. Find a0,a1, and a2 from the fact that Simpsons rule is exact for f (x)= xn when n =1,2, and 3. Then find k by applying the integration formula with f (x)= x4

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