Fundamental theorem of calculus (Part 2) | AP Calculus AB | Khan Academy

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There are really two versions of the fundamental theorem of calculus, and we go through the connection here. 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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Even though my high school didn't have calculus courses, I started college knowing what to expect in calculus. Thanks to Khan Academy. Thank you.

faichalayeva

Normally I 100% understand everything Sal say but this video scrambled my brains. Now that I'm oriented it makes sense but the notation is subtle. I think throwing some numbers in the mix would have helped me.

FlareGunDebate

Gonna have to keep watching videos like a drone over and over. Had to rewind a lot. But the benefit is that you can rewind it as many times as you want. (Watches again)

TomAustinIII

I love it! Just hope one day I can watch it in English :-)

Cosme

Is c just a dummy domain in variable x , like some test charge in Gauss Electric Field Theory. Its my second encounter with use of such a hypothetical supposition. I thought Maths has got ridden of such supposition, but still cannot. Thank you so much this and other two videos on Fundamental theorems, cleared a lot though created some other confusions. I came to this video when I got stuck on multivariable calclulus. Now I have a lead how to go about exploring, lets hope I wont go

debendragurung

Understanding, simple, and fun
Thanks sir for explaining

mahkramahkra

Hi I just have a couple questions on FTC. What exactly is FTC part 1, my prof did horrible job on explaining this. Is part 2 just saying the area from pt X to pt D is equal to the integral been evaluated on the interval [C, D] subtract the integral been evaluated on the interval [C, X]? And what do you mean when you say F'(X) = f(x)?
Thanks!!

tonghaoqiu

The Fundamental Theorems of Calculus would make great tattoos! But I think I'll pass. Perhaps a T-shirt.

rhoadess

Wait... I'm 26... I should be inventing this stuff by myself not watching it on youtube!!! O_o

gosucoaching

Calculus is as boring to me now as it was 30 years ago.

chestermicek

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