Calculus: Fundamental Theorem of Calculus, Part I

http://www.mindbites.com/series/154 for a bundle of videos on the Fundamental Theorem of Calculus. For an even broader bundle of videos that cover the Fundamental Theorem of Calculus and Integration Basics, check out http://www.mindbites.com/series/155 .

To search for topic-specific help in our library of 600+ video products for Calculus, please refer to our Calculus category at: http://www.mindbites.com/category/23-calculus .

To check out our full Calculus video course, with 250+ videos included, refer to: http://www.mindbites.com/series/227-calculus .

Or, for access to this single video, go to: http://www.mindbites.com/lesson/843-calculus-fundamental-theorem-of-calculus-...


In this lesson, you will learn how the derivative and the integral are related. This is the first part of the fundamental theorem of calculus; it asserts that differentiation is 'undone' by integration. It also means that the rate of change of the area under the graph of a function with respect to x is equal to the value of the original function at x. In addition to explaining the theorem and the implications of it, Professor Burger will also walk you through a proof of sorts that explains why the theorem is true.

This lesson explains the first half of the Fundamental Theorem of Calculus. To see the second half of Professor Burger's explanation, check out: http://www.mindbites.com/lesson/844

Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Calculus.

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[MomosReel]

I really needed this cleared up because of the fact that f(t) and f(x). That made so much better sense. Thank you.

[Mindbitesdotcom]

Glad we helped get it cleared up!

[aceofspades6279]

really good explanation!! -a lot of times people just give the formula and give a certain set of algorithms to follow in order to compute operations and that, to me, takes away from the beauty of math! I love that you gave the "intuition" of the theorem - that is much more important than pluging and chuging numbers/ variables

[kdmq]

2:51 I first thought that was x factorial at the end of that sentence lol

[GameBat21]

This guy is so insane trust me I had a textbook this year with him teaching online things on our book website. He's hilarious and crazy at the same time trust me

[trinityKAT]

this is horrible!!!!!!!!!!!!!!!!!!!! even going to link they show you less than they show u here. A complete waste of time. FIND ANOTHER VIDEO

[muffy582]

@WWERocksfool I know you commented in here like a year ago but just wanna say that I am here for the same reason, because our teacher said so.

[infinatycount1]

how do you integrate a function of all integrands like it is done in integral tables that have the formula worked out because i dont just want the answer i want to know how its done

[4thKyuubi]

@WWERocksfool Wow, haha.

[WWERocksfool]

hey my teacher has this program on here laptop and she shows us to help us with our math