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f"(x)<0, f'(x)<0, is simpon gonna be over or under, trapazoid, midpoint?
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- zLv 510 years ago
Error for midpoint scheme M is ~ +f''(xi) < 0
Error for trapazoid scheme T is ~ -f''(xi) > 0.
Simpson's rule is a weighted average of the above two:
S = (2M+T)/3.
So the error of Simpsons rule is between the the error of M and T. That is, it is under the error of T but above the error of M.
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