interesting question?

Question

Could you give an example where Midpoint rule is more accurate than Simpson's Rule

Answer 1

here's a clue, from http://www.math.pitt.edu/~sparling/23021/23022numapprox2/node6.html
"Unlike the trapezoid and midpoint rules, where at least for curves of a given concavity, we can say whether or not the rule gives an overestimate or an underestimate, we have no such clear result for Simpson's rule.
On the other hand we can give a useful error estimate...."
See the entire link for more.

Answer 2

uuummm..i wish i knew what you meant by that! ;)