❖ Finding the Area Between Two Functions in Calculus ❖

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In this example we have to find the area of a shaded region bounded by two functions.
YES, I know we can use geometry to find the area quite easily. But the idea in this example is that in order to find the shaded area that is bounded by the given functions, we must use a different integral for each region: that is to find the area between the two functions we need two integrals in our solution.
Again, a basic example but people often forget this idea in more complicated examples!

#calculus #integrate #area #maths #math #calculus
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I like these old style videos where you actually write stuff down by hand.

themaskedeconomist
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Doing the universe's work! May God be with you! ❤ I love you and appreciate you Patrick!

ChristopherRangon
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Haha, the "calculusy" way. Totally something I'd say too 😃 Sharpie sounds are backkk :)

DecafMathASMR
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am a left hander, i had a problem with my handwriting now that av seen ur style of grip al try it.. thanks for that apart from the video..as always another great content.

wawaT
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Dang this is useful, wish this vid was posted when I took calc haha

raja
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I tell you, the amount of times I just ignored the 0- and got the problem wrong. That was before I even watched YouTube to help with my online math class. I was still like "I'll just get it wrong till I get it right reliably." I don't know how I expected to get through Calx like that

Hi_Brien
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Imagine if he saved every single paper in his videos in a vault, and his work becomes the only surviving archive of mathematics and science.

feller
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Thanks for your nice videos
Would you please tell how do you prepare this video?
Where is the camera?

mohammadnaghshineh
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can you do some example of this with harder problems, like finding area of the enclosed region when you have an absolute value, for example, or solids of revolution of similar functions when integrating with respect to x and/or y?

reob
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Hello Patrick! Can you please tell me how do you setup your camera to shoot videos on pen and paper like this?

sakirinteser
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Tyler DeWitt sirs last video was nearly of 2yrs before may I know what he is doing

sridararamanujam
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It's also better to teach how to integrate with respect to the y axis for greater flexibility

Happy