Volume with cross sections: triangle | AP Calculus AB | Khan Academy

This time, the cross section of our solid is given as the area between two curves.

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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[JakeDustin]

These videos save my life every single day.

[batman]

Your drawings are a world of help! Up until this point I was clueless as to how to visualize these shapes. Many thanks!

[stevencina]

Seriously the best channel for calculus tutorials. Your explanations earned me an A in Calc 1, and I'm hoping they do the same for 2 and 3. Thank you!

[ibraheemshaqqou]

Wow thank you my friend I didn't really understand this in class but now it makes sense

[ds-miod]

What step have you taken to move the material to Africa, because the youtube thing and web apps are Luxurious in some way here. Am from Pretoria, South Africa and really gained a lot from Khan's presentations. Thanks.

[massivejester]

In Sweden we call this the "slice-method" :) 

[BrezHurley]

Nice refresher of Calculus II basics. Great Video and commentary 

[EvryShotKillz]

I dont even understand shit!! I just watch it because it looks interesting ... So weird

[AZTECMAN]

Looks like this thread is averaging about 3 comments per year.

[kedaariyer]

I have a question: When you're taking cross sections of a solid, does the height have to be proportional to the base or can the height remain constant? For example, if the cross sections were squares could the volume just be the integral of 2s (if 2 is the height) instead of s^2?

[blackfrancis]

Why would you call the base of the isosceles triangle "h". So confusing and hard to follow.

[aretwodeetwo]

I don't understand the point of doing that when you can simply find the integral of f(x)^2-g(x)^2.