Table 3: Computational cost to estimate .

FormulaOrderSubintervalsFunc. evalMid. derivTotal

Trapezoidal rule24624630463
Simpson’s rule4817017
Simpson’s rule4722022
Bool’s rule62909
Mid. deriv. Trapezoidal rule413141327
Mid. deriv. Simpson’s rule637310
Mid. deriv. Simpson’s rule6310313
Mid. deriv. Bool’s rule81516