Two students use Simpson's Rule to estimate $\int _ { 0 } ^ { 1 } \left( x ^ { 2 } + 4 x - 5 \right) d x$ . One divides the interval into 30 equal subintervals and the other into 60 equal subintervals. How will the accuracy of their estimates compare?

Question

Quizplus · Accepted Answer

The Answer of Two students use Simpson's Rule to estimate $\int _ { 0 } ^ { 1 } \left( x ^ { 2 } + 4 x - 5 \right) d x$ . One divides the interval into 30 equal subintervals and the other into 60 equal subintervals. How will the accuracy of their estimates compare?

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

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