Single Variable Calculus

Session 60: Integrals and Averages

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Overview

This session explains how definite integrals can be used to calculate the average value of a function on an interval, then presents several examples.

Lecture Video and Notes

Video Excerpts

Clip 1: Average Value

Clip 2: Average Height (3 min)

Clip 3: Average Height with Respect to Arc Length

Recitation Video

Average Velocity

Worked Example

Average Bank Balance

• Problem (PDF)
• Solution (PDF)

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