Triple Integrals Using Cylindrical Coordinates

This video explains how to set up and evaluate a triple integral using cylindrical coordinates.

[palak]

You are very impressive with excellent visuals and perfect speaking speed. I was not able to make my triple integration for cone but after your this video, I think I can imagine any situation for triple integration. Thank you Professor.

[Mugwump]

Hey, at 4:31, you changed the second integral from r=0 to r=4, to r=0 to r=2.

[elainachambers]

Why can't my professors lectures make it this simple wth, thank you so much!!

[peanutbutternjelly]

Great videos. I think you made a small transcribing error between screens. At 4:10 the upper limit with respect to r is 4. Then after you switch to the next screen, the upper limit with respect to r is 2. I'm not sure if I missed something or if it was an error. Thanks.

[DetectiveMcGarnacle]

Videos are so well prepared. 3d graphs ready to show instead of some messy rough sketch

[zackm]

Very nice. I liked how you reasoned graphically instead of giving us the bounds in x and y and simply computing the new bounds like some people do

[xJackLambertx]

wow, why can't you be my calculus professor? Cylindrical integrals are super Easy now!

[imperialhussar]

u were better than my teacher thanks. videos are especially good for understanding shapes in maths :D

[Twenty_Four_]

you made a mistake, you changed your limit of integration from 4 to 2 on accident when integrating "dr"

[Mathispoweru]

@MrYounisah Yes, I copied it wrong onto the second slide. I made a note of the error. Sorry about that.

[andrewdenterlein]

Very helpful, thank you so much for taking the time to make this!

[charlestheanimator]

4:34 Error: you switched you bounds for dr from 4 to 2 thus your answer is not the volume of the integral in the example

[Sid]

Thanks a lot, this made it very clear!

[MCTeacup]

Great video, helped a lot! I appreciate it.

[scalesconfrey]

In the second problem, the second cylinder is redundant (we already know that r goes from 0 to 4 from the surface z=4-sqrt(x^2+y^2))

[juantoral]

There is a problem here. In the second example, Z should go from 0 to the cross between z=4-x^2-y^2 and x^2+y^2=4. Which is the height.

[abufazalansari]

Sir let me know how do you draw 3d pictures or by which mathematical tool
Please..

[mertdizdar]

In first triple int. you take 0 to 4 in second int line but write 0 to 2 instead. Also why did we take 1 to 2 at second triple integral? Shouldn't we take 1 to 4 instead?

[wbcboxing]

does the order of integration matter? i.e dr dtheta dz

[donaldn]

How are we supposed to solve these without a 3d graphing calculator?