Multiple Integrals 5: Limits of Region R (Type I)

We see how, through a simple procedure, we define the limits of a type I region R.

For a more in depth look at multiple integrals or other calculus related topices, please visit www.gaussianmath.com

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• calculus
• multivariable
• integration
• integral
• double
• limit
• math

[jimmyshitbags]

at about 2:15, i dont get why the line has to be drawn down through R. we know the bottom curve is g1(x) and the top is g2(x), so... whats the point of this line?

[donylee]

The point of the line is to explicitly find the functions g(x) that bound the top and bottom of region R.

Like I say later, it is to make things very clear. it is not necessary if you can see the functions just by looking at R.

When we deal with curves with asymptotes, this wouldn't work. That's another story altogether.:-)

[Tsoy1984]

Man, You are great!

Do you have a website so I could download all of your lectures at once. I would really appreciate it.

[donylee]

check my channel info for my website.

You can't download the videos. Instead, you can download the lecture notes in pdf format.

[aviansun1212]

u hav crystal clear concepts....i think u shud write a book on Integrals!....coz all d books neglect all d info u supply in dese videos!...Thnx a lot!!!(specially for d geometrical approach in terms of function f(x,y) )

[donylee]

Woah! A book!

That's a HUGH undertaking I'm not ready for. Hey, but since you asked me, I was infact thinking about it.

There are already TONS of Calculus textbooks out there, single and multiple variables, vectors and series. So if I were to write one, I want it to be a little different.

Hmmm, just a thought: Calculus, th key of Love. Now that will be something. :-)

[scaterbum]

Awesome! i have adhd, and this guy makes math fast and easier to understand....

[KhanSlayer]

You can't hit replay when your behind a desk!!!!! Five Stars!!!!!

[Mr6c0rpi0n]

Thank you so much denny

[browno26]

yay

[napartak]

You're AMAZING!

[pramodnatraj1987]

Great job. I loved the introduction to double integration

[eddie19ify]

He's very smart and he's my type. I want to meet this guy ":D

[datHulkinZ]

wow :) because of this kind of video i like youtube

[Ingulit]

AMEN

[ahuhs]

lmao this is siioooooooooooooooooooooo fucking funny i love your accent nigga!!!

[deathcabforjack]

Everything you say is soo clear and meaningful.

[Milchi7]

haha absolutely yes! The main reason why youtube videos are much better than lessons^^