Midpoint Derivative-Based Closed Newton-Cotes Quadrature

Table 9

Int.	Bool’s rule		Midpoint derivative Bool’s rule
	Approximate value	Error	Approximate value	Error
1	3.1421176471	0.0005249935	3.1414398566	0.0001527970
2	3.1415940941	0.0000014405	3.1415922411	0.0000004125
4	3.1415926611	0.0000000075	3.1415926536	0.0000000000