Midpoint Derivative-Based Closed Newton-Cotes Quadrature

Table 11

Int.	Simpson’s rule		Midpoint derivative Simpson’s rule
	Approximate value	Error	Approximate value	Error
1	6.4207278043	0.0316717054	6.3905246728	0.0014685739
2	6.3912101867	0.0021540878	6.3890815720	0.0000254731
4	6.3891937254	0.0001376265	6.3890565078	0.0000004089