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 KZbin teachers like you have helped so many countless students. Seriously, you've impacted the entire next generation of STEM. Thank you
@skankhunt-zh1mo4 ай бұрын
its been 6 years, does it seem so simple now?
@samueldominguez2538 жыл бұрын
I like that you explain the "why" of steps. Thank you ! :)
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!!!
@kristakingmath2 жыл бұрын
You're very welcome, Ric! I'm so glad the helped and that everything made sense! :)
@bireshwarchakraborty76127 жыл бұрын
A crystal clear explanation that clarified my vague concepts regarding triple integration.
@zulyzappala43428 жыл бұрын
You are the best Calculus teacher! I can easily get it. Ready for my final. Thanks a lot!
@kristakingmath8 жыл бұрын
+zuly zappala Thank you so much! Good luck on your final, I hope it goes great!!
@SharvadharshiKBCE2 жыл бұрын
@Krista King, you are truly a savior! Keep doing more of these videos. Thanks!
@danterobinson25622 жыл бұрын
Many years later you're still helping struggling students, thank you so much
@moinaction6 жыл бұрын
How could anyone thumbed down to such a great explanation? My math teacher couldn't even break it down like this
@Saqib73376 жыл бұрын
Great job! finally i have honored with this tutorial. as i have an exam on Monday. really Helpful. Thanks!
@alimuhtasham40452 жыл бұрын
it's been 6 hours i've been trying to understand this thing and you have done it for me. Thanks for saving me
@Roman_CK6 ай бұрын
Very clear and comprehensive. Glad I found your channel.
@kristakingmath6 ай бұрын
Thank you so much! ☺️
@tenafrancesallyana.46224 жыл бұрын
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
@CodSock7 жыл бұрын
Absolutely loved the way you explained this for me. What a great video thanks for helping me on another topic. Love your videos.
@kristakingmath7 жыл бұрын
Thanks for the comment. I'm glad you're liking the videos. :D
@gravewalker_01257 жыл бұрын
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.
@kristakingmath7 жыл бұрын
I'm so glad I've been able to help! Thanks for letting me know. :)
@HoshikawaHikari Жыл бұрын
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.
@legslove30903 жыл бұрын
This girl is a great teacher!
@susannacook28705 жыл бұрын
I love the way you teach this. Thanks!
@kristakingmath5 жыл бұрын
You're welcome Susanna! I'm so glad you liked it! :)
@zerodawn_rl8673 Жыл бұрын
Omg, thank you so much for not just showing us how to do it, but why as well this was beyond helpful😁
@TheBoredVP8 жыл бұрын
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!!
@kristakingmath8 жыл бұрын
Thanks, I'm so glad you like the videos... I know online courses are really tough!
@hassaanahmed233 жыл бұрын
Thank u Krista YOU a REAL KING!
@Petrolways3 жыл бұрын
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
@kristakingmath2 жыл бұрын
I'm so glad the video helped, and I hope the quiz went great!! :D
@Petrolways2 жыл бұрын
@@kristakingmath It went great , thank you
@tasnimnahiyanpervez30719 жыл бұрын
best video of triple integrals...u made it so easy!!! thanx a bunch
@rbchaser15 жыл бұрын
Great Explanation! Very easy to follow choosing the limits of integration
@kristakingmath5 жыл бұрын
Thank you so much, Roger! So glad it helped! :)
@Sabiqyu8 жыл бұрын
thank you so much it really helps me with my calculus finals!
@kristakingmath8 жыл бұрын
+Sabiq Mufarrid Awesome! Thanks for letting me know.
@askarmukhammadov5133 жыл бұрын
Love your videos! I have an exam in 40 minutes and this video gives me confidence!
@kristakingmath3 жыл бұрын
I'm so glad it helped, and I hope you're exam went great! :D
@KLCII887 жыл бұрын
Thank you for this excellent explanation!! I have appreciated your videos over the past few semesters! :D
@kristakingmath7 жыл бұрын
Thanks!
@ishanrajpal59753 жыл бұрын
That's the exact thing i just needed. Thanks for the efforts
@kristakingmath3 жыл бұрын
So glad I could help, Tech! :D
@maahi35343 жыл бұрын
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.
@kristakingmath2 жыл бұрын
You're welcome, Maahi! I'm so glad it finally made sense! :D
@sukanyashukla39177 жыл бұрын
loved the way you explained. Thank you! :)
@kristakingmath7 жыл бұрын
Thanks! I really appreciate it. :)
@gilmaferrer2024 жыл бұрын
Thank you! you make so easy and clear.
@kristakingmath4 жыл бұрын
You're welcome, Gilma, I'm so glad it made sense!
@CASL-xq5zh9 жыл бұрын
crisp and precise... great video!
@kristakingmath9 жыл бұрын
thank you very much!
@8Trails509 жыл бұрын
Calc III Final soon, thank you for the great video!
@kristakingmath9 жыл бұрын
You're welcome! Good luck on the final!!
@benripka69776 жыл бұрын
You said all the right words... I appreciate you!
@kristakingmath6 жыл бұрын
Thanks, Ben! :)
@vegetaiv92753 ай бұрын
Thank you so much! Thanks to your courses in Udemy, I did well on my college math courses.
@kristakingmath3 ай бұрын
You're very welcome! I’m honored!! So so glad that you had success in your college courses, that’s awesome!! 🥰
@0016mohit8 жыл бұрын
Thanks alot! The video really helped me :) You are a great teacher, an amazing one!!!
@kristakingmath8 жыл бұрын
I'm glad I can help!
@jiarong2935 жыл бұрын
ur explaination is good, and ur voice is sweet, great teacher
@kristakingmath4 жыл бұрын
Thanks, Fufu!
@lasithaamarasinghe925111 ай бұрын
Thanks madam. I understood how to apply limits in triple integrals. 😊😊
@partharora165 жыл бұрын
You make maths seems so simple ,thanks a lot
@kristakingmath5 жыл бұрын
You're welcome, Parth! I'm happy to help! :D
@the_crazy_arrow2 жыл бұрын
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 :)
@bellyup-qh2ut9 жыл бұрын
That was such an awesome video! Thanks for explaining it step by step, it really helped me out. Great job!.
@kristakingmath9 жыл бұрын
I'm so glad it helped!!
@alexandraprodanov40892 жыл бұрын
you just saved me, thank you so much
@swarnesh10938 жыл бұрын
These videos are simply awesome.
@kristakingmath8 жыл бұрын
+Swarnesh Jha yay! glad you like them!
@Prakashkumar-pg2vl8 жыл бұрын
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
@padhaiwallah19003 жыл бұрын
Thank you... It helped me alot
@kristakingmath2 жыл бұрын
You're welcome, Padhai! I'm so glad it helped! :D
@ANHNGUYENTHIKIEU-ez1ir2 ай бұрын
So helpful
@dob311219939 жыл бұрын
Excellent explanation!
@kristakingmath9 жыл бұрын
Thanks!
@kennykwok10004 жыл бұрын
Thank you for saving my calculus course!
@peternganga71585 жыл бұрын
Thanks
@laithzyod83308 жыл бұрын
YOU ARE AMAZING! Thank you.
@swastikapokharel73855 жыл бұрын
Thanks a lot ! I can understand now. ☺️
@kristakingmath5 жыл бұрын
You're welcome, Swastika, I'm so glad it helped! :)
@johnv4487 Жыл бұрын
Thank you for these videos! So helpful
@sagnik4894 жыл бұрын
Thnk you a lot , I was stumbling for a long time. Subscribed.
@kristakingmath4 жыл бұрын
Thank you so much for subscribing! :D
@rend_neu6 жыл бұрын
Nice and comprehensive video... It'll certainly helps me a lot in my final exams :)
@kristakingmath6 жыл бұрын
I'm so glad it helped, and good luck on your final exams, I hope they go great! :)
@rend_neu6 жыл бұрын
Yep.. It was so useful and hence helped me in my exams a lot, it was pretty great :)
@mdaley65 жыл бұрын
This beats my book, professor, the tutoring center... you name it. Thank you so much! :)
@kristakingmath5 жыл бұрын
Awww thanks Michael! So glad it helped! :D
@roberttaiswa924510 жыл бұрын
thank you for the great tutorial.
@oussamasouadka115610 жыл бұрын
You are the best :)
@MB-sx4bv2 жыл бұрын
I really wanna appreciate you for this amazing video ........
@namarikmanofal91698 жыл бұрын
This is so much help ! Thank you for making me surviving my final .❤️!
@kristakingmath8 жыл бұрын
I'm so glad it helped, and I hope your final exam goes great!
@jrt67224 жыл бұрын
Why do we integrate dzdydx with 1 ? Why don’t we integrate the given function 2x+y+z=4, I’ve seen some volume-finding examples they integrate z in term of x,y but with 2 integral. Thank you so much
@putnaik91444 жыл бұрын
Its the same thing. If you watch her double integral and triple integral explanation videos, you'll see why. Integrating the function f(x, y) over dydz (dA) is the same thing as integrating as integrating 1dzdydx. It just comes down to the limits of integration. When she integrated just z in this case, she ended up plugging in the limit of integration z = 4 - 2x -y which is the same thing as f(x,y).
@financewithsom4856 жыл бұрын
You have told the trick behind every problem like this
@v8monster1869 жыл бұрын
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 !!!
@RobSummers9938 жыл бұрын
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!
@kristakingmath8 жыл бұрын
+Robert Summers I'm so glad you're liking them!
@cupastasio Жыл бұрын
perfect video
@kailadavis88776 жыл бұрын
Good video ! I'm a bit confused though, in some questions we are given a triple integral to work with and in some questions we don't (like in this one) and just given a z equation. When we are not given a triple integral to work with, do we assume it is equal to 1 dx dy dz.
@kristakingmath6 жыл бұрын
You could be given a triple integral already, or you could be given a function and might need to put that function inside a triple integral and integrate that. Or, if neither of those is the case, then yes, you'll need to use 1 dx dy dz. :)
+Soumyadeep Chatterjee You're welcome, I'm so glad it helped!
@carlav52853 жыл бұрын
Thanks for the great video!
@kristakingmath2 жыл бұрын
My pleasure, Carla, I'm glad you liked it! :)
@qualquan Жыл бұрын
This is really a double, not a triple integration problem. We first integrate Z.dy where Z is a function of (xy). Then convert the resultant integral function into a function of the height (x) and integrate a second time to obtain the volume. No need at all to integrate by dz which serves no useful function. This means our very first integration is Z=4-2x-y.dy to get an area integral. Then convert the (y) in the obtained area integral into (x) terms by substituting y=4-2x. This allows one to integrate the area integral which is now entirely in x terms over the height (x) to obtain volume. Alternatively Volume = 1/3 Area of base x height or 1/6 XYZ (1/6 2x4x4 =32/6 = 16/3)y area
@BinuratheDarkLord7 жыл бұрын
That was a great explanation. Thanks a lot @kristaking :)
@kristakingmath7 жыл бұрын
Thanks!
@tiisetsomashele14948 жыл бұрын
you're amazing. thank you for the help
@kristakingmath8 жыл бұрын
+Tiisetso Mashele Thank you so much, I'm happy to help!
@theatmosphere12295 жыл бұрын
Thank you very much
@taenyftw10 жыл бұрын
very nice. the half part of your video is quite a handful though lol. but maybe I'm just tired looking at so many numbers
@mxame5 жыл бұрын
Really helpful. Thank you a lot
@Kabaghe3 жыл бұрын
gotten something, thanks.
@nehthang82653 жыл бұрын
Miss for example if that the surface enclosed for z=4-X^2-Y.....not 2X...will the process be still the same
@JamilKhan-hk1wl5 жыл бұрын
You showed the exact thing that i wanted to know
@kristakingmath5 жыл бұрын
Oh good! I'm so glad it helped! :D
@boonyewlee6 жыл бұрын
very well explaination
@kristincotton35929 жыл бұрын
So how can you use this method to solve the following problem: Find the volume of the region bounded by the equations x=y^2, x+z=1, and the x-y plane?
@tgates993 жыл бұрын
THANK YOU!
@kristakingmath3 жыл бұрын
You're welcome, Tyler! :)
@1sunilento9 жыл бұрын
Great video. Thanks a lot!!
@kristakingmath9 жыл бұрын
Thank you so much, and you're welcome!
@sudheerkumar-hm7pr7 жыл бұрын
WoW...nice explanation.....
@kristakingmath7 жыл бұрын
Thanks!
@joshuamurray38414 жыл бұрын
Can the bounds of integration differ? EX: z [0, 4], y[0, 4-z], x[0, 4-y/2-z/2]
@dianacruzr26877 жыл бұрын
I love you ^^. Thank you so much!!
@jy-dj4wl6 жыл бұрын
dont know if this is a stupid question or not , but when will we not be integrating by 1? as most of my school's triple integral arent usually integrating by 1 .
@ashishranjan71756 жыл бұрын
you saved my final sem exam. thanks a lot
@kristakingmath6 жыл бұрын
I'm so glad I was able to help, Ashish! :D
@normanreedus6673 Жыл бұрын
Thank youuuu
@ahmedadel86583 жыл бұрын
It so simple thanks ❤
@kristakingmath3 жыл бұрын
You're welcome, Ahmed! 😊
@katherine43866 жыл бұрын
Thank you thank you thank you! 🙏🙏
@Renatic1238 жыл бұрын
Thank you so much! Now this seems so understandable! :D
@kristakingmath8 жыл бұрын
+Renato Afonso I'm so glad it's making more sense!
@RahibulAzizAnam20023 ай бұрын
Thank you soo muchhh🤗🤗🤗🤗🤗🤗🤗
@ahmedmghabat79823 жыл бұрын
Why cant we say bounds of Y [0,4] as shown in XY coordinates ?
@yaraismail19545 жыл бұрын
perfecto
@garvitkohli85982 жыл бұрын
I love it thank you so much
@kristakingmath2 жыл бұрын
You're welcome, Garvit, I'm so glad you liked it! :)
@Eng-Amer-Al-Najjar6 жыл бұрын
thanaan you thank you very very very much < you're a life saver !!!you are awesome thank you proffessor
@PravyaTejaswi7 жыл бұрын
You are awesome!!.Thanks
@nicholasgabaldon657 Жыл бұрын
Why is the f function equal to 1? Shouldn't it be equal to the plane?
@AmeerHamza-bc4fh7 жыл бұрын
Good explanation...
@kristakingmath7 жыл бұрын
Thanks!
@edembansah3127 жыл бұрын
OMG!!!!!!!! You are so good! damn. Thank you very much