Disc method rotation around horizontal line | AP Calculus AB | Khan Academy
Vložit
- čas přidán 7. 01. 2013
- Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacademy.org/math/ap-c...
Solid of revolution constructing by rotating around line that is not an axis. Created by Sal Khan.
Practice this lesson yourself on KhanAcademy.org right now: www.khanacademy.org/math/ap-c...
Watch the next lesson: www.khanacademy.org/math/ap-c...
Missed the previous lesson? www.khanacademy.org/math/ap-c...
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.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: / channel
Subscribe to Khan Academy: czcams.com/users/subscription_...
I appreciated how you didn't skip steps
This is very easy to understand, but these are much, much easier problems than the ones we have in our textbook. You really need to go through some of the calculus textbooks and pick the ridiculously hard problems that they like to give.
Great explanation and graph
thanks Sal!
Thank you so much! Wish you were my professor.
That is true. I'm using the Thomas calculus textbook and the set ups , and so called 'simplificatons' are brutal in that book. I've spent hours on single problems trying to find out how some expression can be beaten into a form that will cancel where it needs to. the calculus formulas are easy!
good idea!
khan is awesome
I could never understand how to find the radius for the shell method and the disk/washer method.
just ask Sal Khan if he can make a video for you on something specific that you're having trouble with, yeah?
Who else checked their phone when they heard the notification sound at 9:16 ? :P
the derivations are absurd in a lot of the formulas that are in the tables, especially the integrads with a square root of a squared plus or minus u squared. i can't believe people even figured some of them out. the algebraic and trig rearrangement in order to get to an integrable form are not a waste of time though since that is where at least I spend most of my time on these problems.
Also, the set up and geometry are far more difficult than the actual evaluation of these integrals, half of the video is used to calculate the volume. We could have used that time far more efficiently setting up another problem. I know I shouldn't nit pick these things, and appreciate what kind of a resource khanacademy is but fast forwarding only to see that long drawn out calculation being performed is entirely frustrating.
Shouldn't the height of each disc be ds=sqrt(1+(dy/dx)^2)dx?
No.
มีคนทำซับไทยด้วยหรอครับเนี่ย
X-Men..!
1st
the formulas are easy, but the derivation for them is another thing that is wasted time. Not because the theory is useless, it can be a very useful tool for students trying to learn the more theoretical side of math, proofs or just understanding where these formulas come from and the logic behind them. It is wasted time because it is not something that is fundamentally required to go through a problem on an exam.