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Two Students Use Simpson's Rule to Estimate 01(x2+4x5)dx\int _ { 0 } ^ { 1 } \left( x ^ { 2 } + 4 x - 5 \right) d x

question 35

Essay

Two students use Simpson's Rule to estimate 01(x2+4x5)dx\int _ { 0 } ^ { 1 } \left( x ^ { 2 } + 4 x - 5 \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?


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