Area Under Parametric Curves Examples | Calculus 2 - JK Math

Описание: 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).

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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  


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