The only thing I do not get is that why do we call it dx instead of just x? What is the reason, I'm just not capable of understanding it and I need help.
The point of the sylinder shell method, is to sum infinitely many VERY THIN shells together over the area we want to find the volume of. If we set the thickness of these shells to x, this would mean that the thickness of the shell will not be as thin anymore for large values of x. Hence, the approximation of the volume would contain a great error. When we let the thickness of each shell be dx, this basically means they are VEEERY thin, and gives better approximation because you can fit more shells in the same area
d in front of x means infinitesimal, which in turn means infinitely small. Its like putting a limit, so it doesnt approach 0, but is very very very very small in size
Totally underrated video! Thank you. You're a skilled teacher!
This was extremely helpful to visualise whats going on
This is such a helpful visual. Thank you!
This is fantastic-thank you! Far better than my ivy league profs
and UK Russel Group unis
This is incredible
Very helpful video
Your are good teacher 👍
Thanks for sharing this video.
soooo goood!!!
Thank you so much.
Love you thank you
Thank you loads,
Please what app are you using to draw these shapes? Is it geogebra?
Ja das ist richtig
Thanks a lot
Thank you so much for this helpful video. Could you please tell me the name of the software you used in animation.
GeoGebra
❤️
The only thing I do not get is that why do we call it dx instead of just x? What is the reason, I'm just not capable of understanding it and I need help.
The point of the sylinder shell method, is to sum infinitely many VERY THIN shells together over the area we want to find the volume of. If we set the thickness of these shells to x, this would mean that the thickness of the shell will not be as thin anymore for large values of x. Hence, the approximation of the volume would contain a great error. When we let the thickness of each shell be dx, this basically means they are VEEERY thin, and gives better approximation because you can fit more shells in the same area
d in front of x means infinitesimal, which in turn means infinitely small. Its like putting a limit, so it doesnt approach 0, but is very very very very small in size