Washer method rotating around horizontal line (not x-axis), part 1 | AP Calculus AB | Khan Academy

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Washer method when rotating around a horizontal line that is not the x-axis. Created by Sal Khan.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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YES. My teacher did not spend enough time on this. The concept isn't that hard when using the axes, but rotating around anything other that either axis is pretty difficult.

glitchforum

It's unfortunate because if you can't draw or visualize properly with this stuff it throws everything off

aaronasmr

thank you...amazing explanation and pictures (:

dmoreno

Thank I now understand it much better, when it's rotating on a non-axis

jp

this video really helped me, thanks bro. and your drawings arent that bad...lol

hershalrooplall

Thank you so much this helped clear up so much

TheNirto

what happens when the axis of rotation in this case y=3 is in the range of both functions? what if it wanted to rotate about y=3?

asdfjklasdfjkl

Thank you I completely understand this now

knightsoftheroundpeople

what happens when axis of rotation is x= -2

donasaju

Wouldnt the outer radius be 4 + the outer function? Since the function goes under the x axis?

dominiccinotti

These sketches are almost better than the explanations, wow

ryanlyle

Your accidentally changed the sign from negative to positive in the outer radius

yukiihiro

Washer method rotating around horizontal line (not x-axis), part 1 | AP Calculus AB | Khan Academy

Washer method rotating around horizontal line (not x-axis), part 1 | AP Calculus AB | Khan Academy

Washer method rotating around horizontal line (not x-axis), part 2 | AP Calculus AB | Khan Academy

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