Triple Integrals, Changing the Order of Integration, Part 3 of 3

[scottmullen]

"You can always plot points if at this point you're losing your mind."  Made me laugh pretty good

[Sam-fmeh]

You explained it graphically without algebraically rearranging inequalities like my lecturer which is exactly how I think! Thanks so much!

[claireabella]

"shoot a bullet through the tent... hopefully you're not there.." idk why i lol'd so hard

[pokemasters]

I will never understand why professors will deliberately skip over the fundamentals to understanding this.

They spend less time on teaching you how to set up the integral and spend more time on integrating without giving the student an idea of what the region looks like. Thank you for being human and spending the time to put together a well constructed explanation/video of something that should otherwise be so simple to understand when first being introduced.

[todwod]

Wonderful videos Patsy. Understanding my Polish Vector Calculus Professor where English is her 4th language, is a chore in itself, let alone understanding triple integrals. This is VERY helpful. Thanks!

[bruceweng]

Thank you sir! My calculus II class apparently doesn't have abundant time for such thorough and detailed explanation for this. But for me this is really complicated. Thank you!

[palvindarchhokar]

I just went through your entire multivariable calculus playlist and it is awesome man! Thanks so much!

[Samuelxx]

Hi dude, just one little doubt, I think you misgraphed the region formed by the projection on the x-z plane, I mean <z=1-sqrt*(x)> it's a concave curve rather than covex one, I think you graphed <z=1-x^2>, however it doesn't change the end result on the triple integral. I hope I explained myself well enough.. 4:30

[Twittygurl]

Patrick, I appreciate your thoroughness! After watching all three videos, I'm much more confident about the quiz I'll be taking in 11hrs..lol Thank you much!!!!

[TheMyhrethomas]

I think this was a great movie, and you managed to show how it is possible to solve it with different approaches! Thank you :)

[flarros]

Thank you for doing all of these videos! I was seriously lost before watching them!

[fahadalazemi]

I just wanted to say thank you so much, you are doing a magnificent help. Thank you millions of times

[gabrielfonsec]

I think it's to late to tell now, but isn't the graph of the region on the xz plane concave up?

[echessbee]

Brilliant! I was struggling with the inner-most integral as it was never explained properly. Your surfaces/shadows analogies really drove the idea home in my mind!

[andrewdenterlein]

Thank you so much Patrick, this really helped make sense of everything concerning triple integrals bounds

[CrimsonCorn]

Very good and the thoroughness was what I was looking for. This helped a lot.

[HISTORYTODAY]

Best explanation sir, I just love it .

[OddRobb]

Thanks for uploading.

Remind me in few years when I'm making millions and millions of dollars with my super-advanced degree and I'll write you a big check for your efforts.

[owShinoXr]

great job although I think you missgraphed z=1-sqrt(x)

[fedeottanta]

even if it's not my year's program I understand a lot of things, thanks you, the audio it's awesome!