Two Students Use Simpson's Rule to Estimate $\int _ { 1 } ^ { 2 } \left( x ^ { 3 } + 2 x ^ { 2 } - x + 1 \right) d x$

Essay

Two students use Simpson's Rule to estimate $\int _ { 1 } ^ { 2 } \left( x ^ { 3 } + 2 x ^ { 2 } - x + 1 \right) d x$ . One divides the interval into 30 equal subintervals and the other into 60 equal subintervals. How will the accuracy of their estimates compare?