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General Partition (and Refinement) for Riemann Sums

Instructions

Use this dynamic activity to explore the General Partition (and Refinement) for Riemann Sums. Slide n to change the number of equal intervals. Observe the Right and Left-sum as well as the lower and Upper-sum.

Reflection Questions

1. Under what condition the Right/Left-sum (Right/Left-side integration approximation) is the same with the Upper/Lower-sum? 2. What might be the disadvantage of the General Partition (with uneven intervals), compared with the Equi-Partition, while approximating the integration?