Derived from the midpoint rule it should be chosen over its less-complicated analogue when the curvature of the function of "x" is high.  
Derived from the midpoint rule it should be chosen over its less-complicated analogue when the curvature of the function of "x" is high.  Not very similar to its namesake's 3/8 rule, it approximates a quadratic as opposed to a straight line within each subinterval, differentiating it from the trapezoidal rule.  Requiring the integer to be even, FTP, name this method for approximating integrals.
Derived from the midpoint rule it should be chosen over its less-complicated analogue when the curvature of the function of "x" is high.  
Simpson's Rule