Midpoint Derivative-Based Closed Newton-Cotes Quadrature

Table 12

Int.	Simpson’s 3/8 rule		Midpoint derivative Simpson’s 3/8 rule
	Approximate value	Error	Approximate value	Error
1	6.4033154765	0.0142593776	6.3898918626	0.0008357637
2	6.3900166237	0.0009605248	6.3890705727	0.0000144738
4	6.3891173168	0.0000612179	6.3890563312	0.0000002323