Area of Surfaces of Revolution | Calculus 2 Lesson 7 - JK Math
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2 سال پیش
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How to Calculate Area of
How to Calculate Area of Surfaces of Revolution (Calculus 2 Lesson 7)
In this video we look at how to use definite integrals to calculate the area of surfaces of revolution, which are surfaces formed by revolving a curve about an axis, such as the x-axis or y-axis. We derive the formula used to calculate this area, and then look at example problems of using the formula.
Arc Length Tutorial Mentioned in this video: Arc Length | Calculus 2 Lesson 6 - JK...
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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 Determining the Formula
6:42 Area of a Surface of Revolution Formulas
8:49 Example 1 - f(x)=x^3 from x=0 to x=1 around x-axis
19:38 Example 2 - f(x)=x^2 from x=0 to x=sqrt(2) around y=axis
30:04 Outro
📝 Examples Video: Area of Surfaces of Revolution Exampl...
⏩ Next Lesson: Work Problems | Calculus 2 Lesson 8 -...
📺 Calculus 2 Playlist: Calculus 2
📺 Calculus 1 Playlist: Calculus 1
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-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.
In this video we look at how to use definite integrals to calculate the area of surfaces of revolution, which are surfaces formed by revolving a curve about an axis, such as the x-axis or y-axis. We derive the formula used to calculate this area, and then look at example problems of using the formula.
Arc Length Tutorial Mentioned in this video: Arc Length | Calculus 2 Lesson 6 - JK...
🖥️ 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 Determining the Formula
6:42 Area of a Surface of Revolution Formulas
8:49 Example 1 - f(x)=x^3 from x=0 to x=1 around x-axis
19:38 Example 2 - f(x)=x^2 from x=0 to x=sqrt(2) around y=axis
30:04 Outro
📝 Examples Video: Area of Surfaces of Revolution Exampl...
⏩ Next Lesson: Work Problems | Calculus 2 Lesson 8 -...
📺 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: Facebook: jkmathematics
Twitter: 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.
2 سال پیش
در تاریخ 1401/06/08 منتشر شده
است.
2,995
بـار بازدید شده