Triple integrals to find volume of the solid (KristaKingMath)

► My Multiple Integrals course: www.kristakingmath.com/multip...
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.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
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?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingmath.com
FACEBOOK // / kristakingmath
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INSTAGRAM // / kristakingmath
PINTEREST // / kristakingmath
GOOGLE+ // plus.google.com/+Integralcalc/
QUORA // www.quora.com/profile/Krista-...

[@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 TH-cam teachers like you have helped so many countless students. Seriously, you've impacted the entire next generation of STEM. Thank you

[@skankhunt-zh1mo]

its been 6 years, does it seem so simple now?

[@samueldominguez253]

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

[@kristakingmath]

+Samuel Domínguez You're welcome! Glad it's helping! :)

[@TheCommander454]

you made it so simple THANKS

[@kristakingmath]

Dhedan Saud You're welcome!

[@ricric4722]

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!!!

[@kristakingmath]

You're very welcome, Ric! I'm so glad the helped and that everything made sense! :)

[@bireshwarchakraborty7612]

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

[@SharvadharshiKBCE]

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

[@Saqib7337]

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

[@tasnimnahiyanpervez3071]

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

[@alimuhtasham4045]

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

[@danterobinson2562]

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

[@tenafrancesallyana.4622]

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

[@hassaanahmed23]

Thank u Krista YOU a REAL KING!

[@zulyzappala4342]

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

[@kristakingmath]

+zuly zappala Thank you so much! Good luck on your final, I hope it goes great!!

[@Roman_CK]

Very clear and comprehensive. Glad I found your channel.

[@kristakingmath]

Thank you so much! ☺️

[@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!!

[@kristakingmath]

Thanks, I'm so glad you like the videos... I know online courses are really tough!

[@legslove3090]

This girl is a great teacher!

[@CodSock]

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

[@kristakingmath]

Thanks for the comment. I'm glad you're liking the videos. :D

[@gravewalker_0125]

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.

[@kristakingmath]

I'm so glad I've been able to help! Thanks for letting me know. :)

[@ANHNGUYENTHIKIEU-ez1ir]

So helpful

[@kennykwok1000]

Thank you for saving my calculus course!

[@gilmaferrer202]

Thank you! you make so easy and clear.

[@kristakingmath]

You're welcome, Gilma, I'm so glad it made sense!

[@moinaction]

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

[@johnv4487]

Thank you for these videos! So helpful

[@laithzyod8330]

YOU ARE AMAZING!
Thank you.

[@zerodawn_rl8673]

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

[@bellyup-qh2ut]

That was such an awesome video! Thanks for explaining it step by step, it really helped me out. Great job!.

[@kristakingmath]

I'm so glad it helped!!

[@KLCII88]

Thank you for this excellent explanation!! I have appreciated your videos over the past few semesters! :D

[@kristakingmath]

Thanks!

[@susannacook2870]

I love the way you teach this. Thanks!

[@kristakingmath]

You're welcome Susanna! I'm so glad you liked it! :)

[@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.

[@sukanyashukla3917]

loved the way you explained. Thank you! :)

[@kristakingmath]

Thanks! I really appreciate it. :)

[@roberttaiswa9245]

thank you for the great tutorial.

[@rbchaser1]

Great Explanation! Very easy to follow choosing the limits of integration

[@kristakingmath]

Thank you so much, Roger! So glad it helped! :)

[@alexandraprodanov4089]

you just saved me, thank you so much

[@ishanrajpal5975]

That's the exact thing i just needed. Thanks for the efforts

[@kristakingmath]

So glad I could help, Tech! :D

[@CASL-xq5zh]

crisp and precise... great video!

[@kristakingmath]

thank you very much!

[@0016mohit]

Thanks alot! The video really helped me :) You are a great teacher, an amazing one!!!

[@kristakingmath]

I'm glad I can help!

[@mxame]

Really helpful. Thank you a lot

[@carlav5285]

Thanks for the great video!

[@kristakingmath]

My pleasure, Carla, I'm glad you liked it! :)

[@dob31121993]

Excellent explanation!

[@kristakingmath]

Thanks!

[@partharora16]

You make maths seems so simple ,thanks a lot

[@kristakingmath]

You're welcome, Parth! I'm happy to help! :D

[@swarnesh1093]

These videos are simply awesome.

[@kristakingmath]

+Swarnesh Jha yay! glad you like them!

[@benripka6977]

You said all the right words... I appreciate you!

[@kristakingmath]

Thanks, Ben! :)

[@kennethdavidsanchezgarcia2879]

Thank you so much, really ❤

[@Sabiqyu]

thank you so much it really helps me with my calculus finals!

[@kristakingmath]

+Sabiq Mufarrid Awesome! Thanks for letting me know.

[@askarmukhammadov513]

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

[@kristakingmath]

I'm so glad it helped, and I hope you're exam went great! :D

[@MB-sx4bv]

I really wanna appreciate you for this amazing video ........

[@dianacruzr2687]

I love you ^^. Thank you so much!!

[@BinuratheDarkLord]

That was a great explanation. Thanks a lot @kristaking :)

[@kristakingmath]

Thanks!

[@oussamasouadka1156]

You are the best :)

[@padhaiwallah1900]

Thank you... It helped me alot

[@kristakingmath]

You're welcome, Padhai! I'm so glad it helped! :D

[@soumyadeepization]

Very helpful...thank you very much

[@kristakingmath]

+Soumyadeep Chatterjee You're welcome, I'm so glad it helped!

[@sagnik489]

Thnk you a lot , I was stumbling for a long time. Subscribed.

[@kristakingmath]

Thank you so much for subscribing! :D

[@theatmosphere1229]

Thank you very much

[@tiisetsomashele1494]

you're amazing. thank you for the help

[@kristakingmath]

+Tiisetso Mashele Thank you so much, I'm happy to help!

[@angelanasis7013]

Thank you so much!😘

[@lasithaamarasinghe9251]

Thanks madam. I understood how to apply limits in triple integrals. 😊😊

[@8Trails50]

Calc III Final soon, thank you for the great video!

[@kristakingmath]

You're welcome! Good luck on the final!!

[@Petrolways]

YOU ARE AMAZING , i have a quiz in engineering math 1 tonight and you made that hard part look very understandable and easy, thank you

[@kristakingmath]

I'm so glad the video helped, and I hope the quiz went great!! :D

[@Petrolways]

@@kristakingmath It went great , thank you

[@gracehu3031]

thank you!!: )

[@Renatic123]

Thank you so much! Now this seems so understandable! :D

[@kristakingmath]

+Renato Afonso I'm so glad it's making more sense!

[@namarikmanofal9169]

This is so much help ! Thank you for making me surviving my final .❤️!

[@kristakingmath]

I'm so glad it helped, and I hope your final exam goes great!

[@1sunilento]

Great video. Thanks a lot!!

[@kristakingmath]

Thank you so much, and you're welcome!

[@normanreedus6673]

Thank youuuu

[@garvitkohli8598]

I love it thank you so much

[@kristakingmath]

You're welcome, Garvit, I'm so glad you liked it! :)

[@katherine4386]

Thank you thank you thank you! 🙏🙏

[@PravyaTejaswi]

You are awesome!!.Thanks

[@swastikapokharel7385]

Thanks a lot ! I can understand now. ☺️

[@kristakingmath]

You're welcome, Swastika, I'm so glad it helped! :)

[@boonyewlee]

very well explaination

[@cupastasio]

perfect video

[@nickuhroo]

crystal clear!

[@peternganga7158]

Thanks

[@ahmedadel8658]

It so simple thanks ❤

[@kristakingmath]

You're welcome, Ahmed! 😊

[@tgates99]

THANK YOU!

[@kristakingmath]

You're welcome, Tyler! :)

[@RahibulAzizAnam2002]

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[@krishnamohansrivastava5981]

Thankyou very much mam

[@josephmunashematumbike541]

thanks u are The Best ma'am

[@maahi3534]

I couldn't understand this topic from book as it felt like writer has written in the script of Indus valley civilization. But ypu made it very simple. Thanks a lot.

[@kristakingmath]

You're welcome, Maahi! I'm so glad it finally made sense! :D

[@vegetaiv9275]

Thank you so much! Thanks to your courses in Udemy, I did well on my college math courses.

[@kristakingmath]

You're very welcome! I’m honored!! So so glad that you had success in your college courses, that’s awesome!! 🥰

[@GavinCOC]

THANK YOU

[@RobSummers993]

If you had a university, I would totally be a student! lol :)
Thanks for making the videos so simple and right to the point. It really helps things click!

[@kristakingmath]

+Robert Summers I'm so glad you're liking them!

[@the_crazy_arrow]

hi today you solved two of the gratest mysteries that has been bugging me
1 how to use triple integral when " co-ordinate planes are given" and
also how to evaluate an integral when there are no values given after the integral sign
thanks to you i think i have a shot at my first semester exam in my college
thank you Kristia :)

[@AmeerHamza-bc4fh]

Good explanation...

[@kristakingmath]

Thanks!

[@rend_neu]

Nice and comprehensive video... It'll certainly helps me a lot in my final exams :)

[@kristakingmath]

I'm so glad it helped, and good luck on your final exams, I hope they go great! :)

[@rend_neu]

Yep.. It was so useful and hence helped me in my exams a lot, it was pretty great :)

[@sudheerkumar-hm7pr]

WoW...nice explanation.....

[@kristakingmath]

Thanks!

[@Prakashkumar-pg2vl]

you have to more describe about how integral of z(x,y) cover the entire area of tetrahedron but the video is helpful in understandig Thanks alot

[@jiarong293]

ur explaination is good, and ur voice is sweet, great teacher

[@kristakingmath]

Thanks, Fufu!

[@Tech4GamingIndia]

awesome video

[@muwongeevanspaul9166]

Thank u mom so muchhhhhh 👍👍👍👍👍

[@109siddharth]

thanks

[@angelolimbaring7281]

Thank youuu

[@kristakingmath]

You're welcome, Angelo! :)

[@gaurimandot5788]

Wowwwww!!!!Really fabulous explanation Mam.
Start taking Zoom classes.:]

[@edembansah312]

OMG!!!!!!!! You are so good! damn. Thank you very much

[@kristakingmath]

So glad it could help! :D

[@mdaley6]

This beats my book, professor, the tutoring center... you name it. Thank you so much! :)

[@kristakingmath]

Awww thanks Michael! So glad it helped! :D

[@Kabaghe]

gotten something, thanks.

[@Eng-Amer-Al-Najjar]

thanaan you thank you very very very much < you're a life saver !!!you are awesome thank you proffessor

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You have told the trick behind every problem like this

[@ellelement]

you rock!

[@JamilKhan-hk1wl]

You showed the exact thing that i wanted to know

[@kristakingmath]

Oh good! I'm so glad it helped! :D

[@v8monster186]

Thanks very much to you ... but I haven't understood whats the difference between triple integral and double one's !!! It's staggering for me to make it out !!!

[@RAJSINGH-of9iy]

Ty so much... 😍

[@kristakingmath]

You're so welcome!

[@RAJSINGH-of9iy]

Wht are we actually getting when we triple integrate F(x,y,z) over a region R. Obvio its not the volume. Coz double integrate gives the volume.