Answer:
The correct option is;
b. Simpsons Rule
Step-by-step explanation:
The midpoint rule involves the estimation of the area under the curve with the aid of rectangular shaped approximations
The trapezoidal rule, involved the approximation of the curve by linear approximations by using piece by piece linear functions
In the Simpson's rule the curve is approximated using piece by piece quadratic functions. The intervals are partitioned into even numbered smaller intervals having the same width and we approximate the resulting integrals of the intervals.