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Example Problems For How to Use The Shell Method To Calculate Volume (Calculus 2)

In this video we look at several practice problems of calculating the volume of a solid of revolution formed by revolving a region around the x-axis, y-axis, and other axis of revolution by using definite integrals via the shell method.

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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 Example 1 - y=1/x, y=0, x=1, x=3 around y-axis
5:59 Example 2 - y=x^3, x=0, y=8 around x-axis
14:22 Example 3 - y=2x-1, y=-2x+3, x=2 around y-axis
23:18 Example 4 Part 1 - Rules for Adjusting Radius When Revolving Around Other Lines
26:31 Example 4 Part 2 - y=x^3, x=2, y=0 around y=-1
31:42 Example 4 Part 3 - y=x^3, x=2, y=0 around y=8
33:54 Example 4 Part 4 - y=x^3, x=2, y=0 around x=-2
36:45 Example 4 Part 5 - y=x^3, x=2, y=0 around x=2
38:41 Outro


📝 Lesson Video For These Examples:    • The Shell Method | Calculus 2 Lesson 4 - J...  

⏩ Next Lesson:    • Volume Using Known Cross Sections (Slicing...  

📺 Calculus 2 Playlist:    • Calculus 2  

📺 Calculus 1 Playlist:    • Calculus 1  


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