Скачать или смотреть Finding Volumes with the Washer Method | Calculus Tutorial

Welcome back to Basic Math and Engineering!

In this lecture, we continue with Volumes of Revolution in calculus by introducing the Method of Washers. This technique extends the disk method by subtracting the inner solid from the outer solid — just like cutting out the hole in a washer!

What you’ll learn in this video:

Why we call it the washer method

The connection between the disk method and washer method

How to set up integrals for solids with hollow centers

Rotating the region between
𝑓(𝑥) = 𝑥 and 𝑔(𝑥) = 𝑥^3 about the x-axis

Rotating the same region about the y-axis and comparing results

Common mistakes to avoid (like subtracting radii before squaring)

Step-by-step integration to find exact volumes

This method is essential in Calculus II and beyond — especially for students in engineering, physics, and applied math.

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