Triple integrals to find volume of the solid (KristaKingMath)

Learn how to use triple integrals to find the volume of a solid. In this case, we'll find the volume of the tetrahedron enclosed by the three coordinate planes and another function. We'll need to find the limits of integration for each of our three variables, and then decide on an order of integration.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[MrJaros]

this feels like learning parabolas back in high school...so simple. And yet approximately 5 videos ago, I was about to give up. i really really really appreciate this. You and Youtube teachers like you have helped so many countless students. Seriously, you've impacted the entire next generation of STEM. Thank you

[samueldominguez]

I like that you explain the "why" of steps. Thank you ! :)

[bireshwarchakraborty]

A crystal clear explanation that clarified my vague concepts regarding triple integration.

[ricric]

Why don't teachers explain things this clearly? These concepts are so simple, but most teachers insist on making them seem like rocket science. Thank you so much for this amazing, simple, clear explanation!! This is the only video I found that really lays out the reasoning simply and clearly. Thank you!!!

[zulyzappala]

You are the best Calculus teacher! I can easily get it. Ready for my final. Thanks a lot!

[SharvadharshiKBCE]

@Krista King, you are truly a savior! Keep doing more of these videos. Thanks!

[danterobinson]

Many years later you're still helping struggling students, thank you so much

[alimuhtasham]

it's been 6 hours i've been trying to understand this thing and you have done it for me. Thanks for saving me

[Saqib]

Great job! finally i have honored with this tutorial. as i have an exam on Monday.
really Helpful.
Thanks!

[tenafrancesallyana.]

THIS IS SO GOOD. You explain how and why each variables are obtained, how the order is dictated, why the upper limits sometimes uses equations rather than simple constants, etc. Very well-explained vid! Easy sub

[moinaction]

How could anyone thumbed down to such a great explanation? My math teacher couldn't even break it down like this

[gravewalker_]

As always, thank you so much for making a very complicated topic seem so methodical and easy to understand. Truthfully you have taught me more in Multi variable calculus than my textbook and professors combined and for that I'm indebted to you. God Bless.

[TheBoredVP]

Krista, thank you very much for the videos. They really help! I am enrolled in an online Calculus III course. Having access to these videos in lieu of a professor is great. Keep up the great work!!

[CodSock]

Absolutely loved the way you explained this for me. What a great video thanks for helping me on another topic. Love your videos.

[susannacook]

I love the way you teach this. Thanks!

[tasnimnahiyanpervez]

best video of triple integrals...u made it so easy!!! thanx a bunch

[Roman_CK]

Very clear and comprehensive. Glad I found your channel.

[HoshikawaHikari]

Thanks for the clear explanation!
Just needed to know how to set up the integral as I couldn't figure it out from my lecturer's notes.

[zerodawn_rl]

Omg, thank you so much for not just showing us how to do it, but why as well this was beyond helpful😁

[askarmukhammadov]

Love your videos! I have an exam in 40 minutes and this video gives me confidence!