Education Technology

Approximating Integrals with Riemann Sums

Activity Overview

In this activity, students calculate Riemann sums. They demonstrate when the Riemann sums will over-approximate a definite integral. They also observe the convergence of Riemann sums as the number of subintervals get larger.

Key Steps

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    Students will calculate and analyze Reimann sums.

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    Students will use a calculator program to automate the process of calculating the sum.

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    Students will observe the convergence of left-hand and right-hand Riemann sums by using graphing
    handhelds to automate the production of Riemann sums with regular partitions having a large number of subintervals.