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).

🖥️ 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


📝 Lesson Video For These Examples:    • Area Under Parametric Curves | Calculus 2 ...  

⏩ Next Lesson:    • Arc Length of Parametric Curves | Calculus...  

📺 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.