Area Under Parametric Curves Examples | Calculus 2 - JK Math
Example Problems For How To Find Area Under Parametric Curves (Calculus 2) In this video we look at practice problems of calculating area under parametric curves/ plane curves represented with parametric equations. In each example we start by representing the area we want to calculate with an integral in terms of x and then convert that integral to be in terms of the parameter (t). š„ļø 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 Example 1 Part 1 - Sketching Curve & Area 5:50 Example 1 Part 2 - Calculating Area (in terms of t) 16:18 Example 1 Part 3 - Calculating Area (in terms of x) 20:36 Example 2 Part 1 - Sketching Curve & Area 28:24 Example 2 Part 2 - Calculating Area 40:21 Outro š Lesson Video For These Examples: Ā Ā Ā ā¢Ā AreaĀ UnderĀ ParametricĀ CurvesĀ |Ā CalculusĀ 2Ā ...Ā Ā ā© Next Lesson: Ā Ā Ā ā¢Ā ArcĀ LengthĀ ofĀ ParametricĀ CurvesĀ |Ā Calculus...Ā Ā šŗ Calculus 2 Playlist: Ā Ā Ā ā¢Ā CalculusĀ 2Ā Ā šŗ Calculus 1 Playlist: Ā Ā Ā ā¢Ā CalculusĀ 1Ā Ā š Visit My Website: https://www.jkmathematics.com ā”ļøMath Products I Recommendā”ļø 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 ā”ļøTextbooks I Useā”ļø Calculus 1 & 2: https://amzn.to/3PzfI5F Calculus 3: https://amzn.to/46rSy76 Financial Mathematics: https://amzn.to/3ppIVW0 ā”ļøMy Recording Equipmentā”ļø 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: Ā Ā /Ā jkmathematicsĀ Ā Twitter: Ā Ā /Ā jk_mathematicsĀ Ā 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.

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