Area Between Two Polar Curves | Calculus 2 Lesson 50 - JK Math
How to Find Area Between Two Polar Curves (Calculus 2 Lesson 50) In this video we learn how to calculate area between two polar curves. This includes basic regions of area that lie between two polar curves as well as more complex regions of area that are the common interior of two polar curves. We look at the general form of a definite integral to calculate the area between two curves, and then look at some examples. Additionally, we briefly discuss how points of intersection for polar curves may occur at different angles, making it difficult to locate all points of intersection for two curves without the help of a graph. ⬇️ 📝 Download My Free Blank Polar Graphs Here: https://www.jkmathematics.com/blank-p... 🖥️ Join My Membership Site: https://www.jkmathematics.com/plus This video 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 Review of Area Between Two Curves (Rectangular) 2:47 Area Between Two Polar Curves 6:44 General Formula 8:18 Example: r=3 and r=2+2cosθ 28:44 Note About Points of Intersection 34:27 Example: r=2cosθ and r=2sinθ 46:57 Outro 📝 Examples Video: • Area Between Two Polar Curves Examples | C... ⏩ Next Lesson: • Arc Length of Polar Curves | Calculus 2 Le... 📺 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.
