The Washer Method | Calculus 2 Lesson 3 - JK Math

How to Use The Washer Method To Calculate Volume (Calculus 2 Lesson 3) In this video we look at how to use definite integrals to calculate the volume of solids of revolution that have holes by using the washer method. We discuss how to use the method when a region is revolved around the x-axis to form a solid, when a region is revolved around the y-axis to form a solid, and when the region is revolved around a line other than the x- or y-axis to form a solid. Additionally, we discuss the similarities between the disk and washer method. 🖥️ Join My Membership Site: https://www.jkmathematics.com/plus This series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture! Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first! Video Chapters: 0:00 The Washer Method (x-axis) 6:40 The Washer Method (y-axis) 8:40 Summary of Formulas & Comparison to Disk Method 10:26 Example 1 - y=x, y=x^2 around x-axis 17:07 Example 2 - y=x^2, x=1, y=0 around y-axis 24:13 How to Adjust Each Radius When Revolving Around Other Lines 27:15 Example 3 Part 1 - y=x, y=sqrt(x) around y=1 33:06 Example 3 Part 2 - y=x, y=sqrt(x) around y=-1 35:40 Example 3 Part 3 - y=x, y=sqrt(x) around x=1 38:43 Example 3 Part 4 - y=x, y=sqrt(x) around x=-1 41:28 Note About Disk Method 41:57 Outro 📝 Examples Video:    • The Washer Method Examples | Calculus 2 - ...   ⏩ Next Lesson:    • The Shell Method | Calculus 2 Lesson 4 - J...   📺 Calculus 2 Playlist:    • Calculus 2   📺 Calculus 1 Playlist:    • Calculus 1   🌐 Visit My Website: https://www.jkmathematics.com ⚡️Math Products I Recommend⚡️ Graphing Calculator: https://amzn.to/3XuUcB9 Non-Graphing Calculator: https://amzn.to/46hHJ7E Financial Calculator: https://amzn.to/3CRe9s4 Graphing Paper: https://amzn.to/46mAfAr College Rule Paper: https://amzn.to/3NOJaTN My Favorite Pencil: https://amzn.to/3NOFMIB My Favorite Erasers: https://amzn.to/3PumUQB Calculus Workbook: https://amzn.to/3r8SnNP ⚡️Textbooks I Use⚡️ Calculus 1 & 2: https://amzn.to/3PzfI5F Calculus 3: https://amzn.to/46rSy76 Financial Mathematics: https://amzn.to/3ppIVW0 ⚡️My Recording Equipment⚡️ iPad Air: https://amzn.to/3phEug1 Apple Pencil (Gen 2): https://amzn.to/3Nl45MM Tablet Desk Stand: https://amzn.to/4420rPh External Hardrive: https://amzn.to/44pkEyh (Commissions earned on qualifying purchases) Find me on social media: Facebook:   / jkmathematics   Twitter:   / jk_mathematics   Instagram: @jk_mathematics Found this video to be helpful? Consider giving this video a like and subscribing to the channel! Thanks for watching! Any questions? Feedback? Leave a comment! -Josh from JK Math #calculus Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.