Area Between Two Curves | Calculus 2 Lesson 1 - JK Math

How to Find the Area Between Two Curves (Calculus 2 Lesson 1)

In this video we look at how to use definite integrals to calculate the area of a region between two curves. We look at how to calculate this area with respect to x, as well as with respect to y. In both cases, we discuss how to determine the top function and bottom functions (or right and left in terms of y), that make up a region, and how this helps us set up a definite integral for calculating the area of that region.

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 Area Between Two Curves With Respect to x
3:11 Example 1 - Area Between y=x^2+3, y=-x, x=0, and x=1
9:26 Example 2 - Area Between y=x^2 and y=x+2
17:16 Example 3 - More Than 2 Intersection Points
26:50 Area Between Two Curves With Respect to y
29:03 Example 4 - Area Between y=x-2 and x=y^2-4
38:47 Outro

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#calculus

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[MelodicMurder]

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