Area Between Curves - Integrating with Respect to Y

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How to find the area between two curves? Easy calculus. All you have to do is find the area of the upper function (the definite integral from a to b of f(x) dx) and subtract the area of the lower function or curve (the definite integral from a to b of g(x) dx). This will give you the difference in the area, or the area between the two curves. I showed a few pictures and examples in the video to help you visualize. This method is called integration with respect to x.

The second method in calculus to calculate the area between two curves is called integrating with respect to y. What does this mean? Well, you take the area of the rightmost function and subtract the area of the leftmost function to obtain the area between the two curves. The rest is easy.

In the next video, I will show you how to find the volume using integration

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Why do we take the rightmost function and subtract the leftmost function?

purifynature
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The video I’ve been looking for. This specific look 2x parabolas.

skaterjon
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I was looking for some explanations of this bcoz I have an exam in 2 months. Now I understand how to do it. Thank you buddy. You earned a sub. 😁

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