Calculus: Fundamental Theorem of Calculus, Part II

http://www.mindbites.com/lesson/844 for full video

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 .

The Second part of the Fundamental Theorem of Calculus provides the link between velocity and area. It states that the sum of the area under the curve between two points (A and B) is equal to the difference of the antiderivatives of A and B. Thus, to find the area under a curve between two points, you will take the difference of the derivatives calculated at the end points, A and B. This theorem enables you to evaluate definite integrals by finding the area between the function described and the X axis. The lesson will also cover proper notation that shoud be used to denote what you're evaluating over which interval. You will also work problems that involve trigonometric functions (like finding the area under a portion of the sine curve or cosine curve)

This lesson explains the second half of the Fundamental Theorem of Calculus. To see the fist half of the explanation, check out: http://www.mindbites.com/lesson/843

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

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[TH3WILDCAT65]

Stolen much?

[Mindbitesdotcom]

@TH3WILDCAT65 Rest assured that we actually work with Professor Burger & Thinkwell!

[Airfresh0]

if only all teachers could explain math this well

[arturo92376]

This guys is very good at teaching mathematics, I recommend the other videos of him explaining different mathematical concepts.

[KendallRock]

It's utterly amazing that somehow...chickens can lay eggs

[lunarheart14]

Mr. Burger I love you ^.^

You have been helping me with math since 7th grade!

[scottacus123]

If only all teachers were like this you say? How about starting to care about school for once and then you will find that all teachers arent the devil rather you just dont want to be there. where as on the internet where your looking for this kind of stuff, you are more optomisic. Food for thought.

[aublitius]

What happened to the good old Thinkwell??

[MrGrantbomb]

Its so hard to find a good math teacher! Why are they all on youtube!!!!

[vvzvvvhdhphph]

whats anti dervitatvie?

[DemonPacman]

@grahmcrackers subtract the negative area from the positive area dawg

[NuMetal92]

and where is the fuckin' Part 2, which is why I came here in the first place??!!!

[grahmcrackers]

So what if we are given a function that crosses the x-axis and we are asked to find the area between the function and the x-axis. What does it mean by area? displacement or total distance. one is negative and one is positive which would be the AREA.?