Disc method around y-axis | Applications of definite integrals | AP Calculus AB | Khan Academy
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- čas přidán 27. 08. 2024
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Finding the volume of a figure that is rotated around the y-axis using the disc method. Created by Sal Khan.
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Sal, your drawing ability has dramatically improved!
Amazing drawing skills Mr. Sal!
Wow the drawing actually look realistic
Kind of exciting indeed, Sal. Thanks so much for all you do.
This is extremely well explained. Thank you.
Thanks a bunch! You made this so much simpler to understand!!!
Wow count on Sal to actually explain what is going on, not just give us some formula. Thanks!!
Thank you very much. 👍👍🔝🔝
How do we know not to take the area underneath y=x^2 and rotate that around the y-axis?
Sal you should also teach art
Wow..👏👏👏you are the best...👌👌😰😰
Is there any specific different between solving around y and x axis besides which axis the solid is rotating in?
to name just one, archeologists who find pieces of bones and want to determine its approximate volume as a whole
helpful!!!
Super helpful!
simply awesome!!
This help a lot to me. Thanks.
What if you want to calculate the volume UNDER the y=x² about y axis?
what if you're not given f(x)? You're just provided with vertices of (0,0), (4,0), and (0,6)??
Is it okay if you just take the inverse function then solve around x axis
The volume is cubic meter ancer, so your ancer should have been an amount of liters, how many liters of whater enter in that cup?
VolUME
Wow
if y = 3 - x what would area formula look like?
That would be a straight line with a negative slope, and +3 as its y-intercept (x=0)
%99 its gonna look something like that %1 others
Shouldn't it be from 0 to 4 not 1 to 4????
He's doing [1,4] check 0:15
jeremiah1349 he uses x*x function as a reference function to integrate. The limits could b anything you want( non negative for y please)
it's from 1 to 4, as specified. He marks it on the y axis
Where is this useful? What applications? Who uses this? and Why?
very useful. you can use this to find the volume of virtually anything.
This finds large application in computer graphics to define surfaces of revolution and calculate light based on the normals of the surface