Trapezoidal with Simpson's rule-data

A combination of Trapezoidal and Simpson's rule (1/3 and 3/8) in evaluating a given set of data

If two points have unequal segments, the Trapezoidal rule would be applied. If 3 points have equal segments, Simpson's 1/3 rule would be applied. If 4 points have equal segments, Simpson's 3/8 rule would be applied. This method gives better estimates than using the Trapezoidal rule alone.