New Derivative Based Open Newton-Cotes Quadrature Rules

Table 2

Computational cost for ONC (FE—Number of Function Evaluations, DE—Number of Derivative Evaluations).

𝑁	Order	FE in basic form	DE in basic form	FE in composite form	DE in composite form
2	2	1	0	𝑁2	0
3	2	2	0	2𝑁3	0
4	4	3	0	3𝑁4	0
5	4	4	0	4𝑁5	0
6	6	5	0	5𝑁6	0