Corollary 2. 1(Newton-Cotes Precision). Assume that f(a)is sufficiently differentiable; then E[f] for Newton-Cotes quadrature involves an appropriate higher derivative. The trapezoidal rule has degree of precision n= 1. If f∈Ca,b],then f (a d r=o(o +f1)-of)(c) 2.8 Simpson's rule has degree of precision n=3. If f E C4a, b],then f(x)=(+4f1+f2)-of(c) 2.9 Simpson's rule has degree of precision =3. If f E C[a, b],then °f(x)=8(fo+3+3+3) 3h 3h (A)(C) 2.10 Boole's rule has degree of precision n= 5, If f E Cola, b, then 2h 8 f(a)d=45(7+32h+1212+32+7 f(6)(c).(2.11) 945