What is the benefit of utilizing "Simpson's rule" on a centroid when given n as a value and how does it apply to the following: Simpson's rule with n...

What is the benefit of utilizing "Simpson's rule" on a centroid when given n as a value and how does it apply to the following: Simpson's rule with n = 20 if necessary. Sketch the region bounded between the given functions on the interval and calculate the centroid of each region. Plot the location of the centroid on your sketch of the region. y = x2 and the line y = 2x for 0 ≤ x ≤ 2.