Table 2: Computational cost to estimate .

FormulaOrderSubintervalsFunc. evalMid. derivTotal

Trapezoidal rule22500125002025002
Simpson’s rule4671350135
Simpson’s rule4551660166
Bool’s rule61041041
Mid. deriv. Trapezoidal rule4105106105211
Mid. deriv. Simpson’s rule614291443
Mid. deriv. Simpson’s rule612371249
Mid. deriv. Bool’s rule8521526