Education Technology

Calculus: Approximating the Area Under a Curve
by Texas Instruments

Published on February 19, 2015

Overview

In this activity, students will explore approximating the area under a curve using left endpoint, right endpoint, and midpoint Riemann sums.

Key Steps

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    Students will be presented with the function and be asked to calculate three different approximations for the area under its curve.

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    Student will be asked to calculate the value of the definite integral and compare it to the four approximations of the area found earlier.

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    Student will use the sigma notation to evaluate the left Riemann sum.