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Approximating Areas with Riemann Sums

Hannah Hill

Hannah Hill

11 min read

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Study Guide Overview

This study guide covers Riemann sums for approximating areas under curves. It explains four types: left, right, midpoint, and trapezoidal sums. The guide discusses how to calculate these sums graphically and numerically, including examples with solutions. It also covers overestimation/underestimation based on function behavior (increasing/decreasing and concavity), subdivisions, and notation.

Question 1 of 8

🎉 Look at the graph with rectangles touching the curve with their top-left corners. What type of Riemann sum is this?

Right Riemann Sum

Left Riemann Sum

Midpoint Riemann Sum

Trapezoidal Sum