Calculus - How to find the bounds of a triple integral

This video shows how to find the bounds on a triple integral in rectangular coordinates using the method of collapsing. This method is also called the shadow method. Remember that you must describe the surfaces that you enter and exit in terms of the variable associated with the direction of movement.

▬▬ Chapters ▬▬▬▬▬▬▬▬▬▬▬
0:00 Start
0:05 What does a triple integral describe?
0:38 The method of collapsing
1:12 The bounding surfaces of the region
1:29 Example 1, dzdydx
2:49 Example 2, dydxdz
4:15 A note on keeping bounds simple
4:28 Wrap up information and ending

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[Morpheus-zwpx]

searched for such a long time until i found someone like you who could explain it intuitively. also great visualisations and the keyword "collapse" helped a lot. thank you!!!

[TheRealDanteeBravoo]

this man saves my life without knowing it

[samayshah]

the best lecture i've seen. this helped me tremendously

[francopaulnicolini]

So, before i saw this videos, i barely did manage to solve integrals in R3, but sir, you are actually incredible, you just explained how to analize the graphics of each function of the figure and that with the compression in it, after doing the Z axis, it's a lot more easy to understand, kudos to you

[avalong]

lifesaver. You explained collapsing clearly and the visual was very helpful.

[jordancottone]

you have literally stopped me from crying over not understanding this. thank you.

[BariScienceLab]

Unbelievable. Really helped me visualize, thank you.

[jayven]

no bs, straight to the point awesome explanation, super useful
love it!

[adam]

have my final next week, YOU ARE A LIFE SAVER!! thank you so much :)

[elatior]

Thank you so much for making this video! The visuals were awesome and made it really easy to understand.

[shivangoudapatil]

this video literally opened my eyes, that were closed by my teachers illogical equations

[llama-prdn]

Perfect video! Everything wasn't diluted and straight to the point. Visuals helped greatly as well.

[EchoLocoCJ]

You've explained this so much better than anyone else ive seen. thank you so much i have an exam in a few days!!!

[jitendrathakran]

Intuitively brilliant, thanks without bounds, God bless you

[xprospect]

holy crap this explained things 10 times better than my professor. he's really a great professor but for some reason just couldn't explain this concept very well, thank you so much

[Wooepeke]

First time i comment on Youtube, this is the best explanation I have ever seen! Well done.

[gamespotlive]

This was amazing. You should be payed a million dollars bro.

[pixels]

holy crap thank u for this video, i was having such a hard time visualizing the bounds for these questions. you saved me for this next quiz

[wassenaat]

Thanks this is great for my calc 3 final monday

[HazImal]

Thank you very much for the video, it really helps me to identify the limits. Btw, do you also make a video for polar coordinate?