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 UA-cam teachers like you have helped so many countless students. Seriously, you've impacted the entire next generation of STEM. 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!!!
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
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.
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!!
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 :)
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 !!!
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.
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. :)
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!
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 .
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
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).
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 UA-cam teachers like you have helped so many countless students. Seriously, you've impacted the entire next generation of STEM. Thank you
its been 6 years, does it seem so simple now?
I like that you explain the "why" of steps. Thank you ! :)
+Samuel Domínguez You're welcome! Glad it's helping! :)
you made it so simple THANKS
Dhedan Saud You're welcome!
A crystal clear explanation that clarified my vague concepts regarding triple integration.
You are the best Calculus teacher! I can easily get it. Ready for my final. Thanks a lot!
+zuly zappala Thank you so much! Good luck on your final, I hope it goes great!!
@Krista King, you are truly a savior! Keep doing more of these videos. Thanks!
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!!!
You're very welcome, Ric! I'm so glad the helped and that everything made sense! :)
Many years later you're still helping struggling students, thank you so much
it's been 6 hours i've been trying to understand this thing and you have done it for me. Thanks for saving me
Great job! finally i have honored with this tutorial. as i have an exam on Monday.
really Helpful.
Thanks!
How could anyone thumbed down to such a great explanation? My math teacher couldn't even break it down like this
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.
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
I love the way you teach this. Thanks!
You're welcome Susanna! I'm so glad you liked it! :)
Very clear and comprehensive. Glad I found your channel.
Thank you so much! ☺️
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.
I'm so glad I've been able to help! Thanks for letting me know. :)
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
I'm so glad the video helped, and I hope the quiz went great!! :D
@@kristakingmath It went great , thank you
Absolutely loved the way you explained this for me. What a great video thanks for helping me on another topic. Love your videos.
Thanks for the comment. I'm glad you're liking the videos. :D
Thank u Krista YOU a REAL KING!
Omg, thank you so much for not just showing us how to do it, but why as well this was beyond helpful😁
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
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!!
Thanks, I'm so glad you like the videos... I know online courses are really tough!
best video of triple integrals...u made it so easy!!! thanx a bunch
Great Explanation! Very easy to follow choosing the limits of integration
Thank you so much, Roger! So glad it helped! :)
thank you so much it really helps me with my calculus finals!
+Sabiq Mufarrid Awesome! Thanks for letting me know.
ur explaination is good, and ur voice is sweet, great teacher
Thanks, Fufu!
Thanks madam. I understood how to apply limits in triple integrals. 😊😊
Love your videos! I have an exam in 40 minutes and this video gives me confidence!
I'm so glad it helped, and I hope you're exam went great! :D
crisp and precise... great video!
thank you very much!
Calc III Final soon, thank you for the great video!
You're welcome! Good luck on the final!!
You said all the right words... I appreciate you!
Thanks, Ben! :)
Thank you! you make so easy and clear.
You're welcome, Gilma, I'm so glad it made sense!
That's the exact thing i just needed. Thanks for the efforts
So glad I could help, Tech! :D
Thank you for this excellent explanation!! I have appreciated your videos over the past few semesters! :D
Thanks!
You make maths seems so simple ,thanks a lot
You're welcome, Parth! I'm happy to help! :D
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 :)
loved the way you explained. Thank you! :)
Thanks! I really appreciate it. :)
Thank you so much! Thanks to your courses in Udemy, I did well on my college math courses.
You're very welcome! I’m honored!! So so glad that you had success in your college courses, that’s awesome!! 🥰
Thank you for saving my calculus course!
Thank you for these videos! So helpful
These videos are simply awesome.
+Swarnesh Jha yay! glad you like them!
Thanks
That was such an awesome video! Thanks for explaining it step by step, it really helped me out. Great job!.
I'm so glad it helped!!
YOU ARE AMAZING!
Thank you.
Nice and comprehensive video... It'll certainly helps me a lot in my final exams :)
I'm so glad it helped, and good luck on your final exams, I hope they go great! :)
Yep.. It was so useful and hence helped me in my exams a lot, it was pretty great :)
Excellent explanation!
Thanks!
thank you for the great tutorial.
Thank you... It helped me alot
You're welcome, Padhai! I'm so glad it helped! :D
you just saved me, thank you so much
Thanks alot! The video really helped me :) You are a great teacher, an amazing one!!!
I'm glad I can help!
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 !!!
So helpful
Thanks a lot ! I can understand now. ☺️
You're welcome, Swastika, I'm so glad it helped! :)
Thnk you a lot , I was stumbling for a long time. Subscribed.
Thank you so much for subscribing! :D
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.
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. :)
You have told the trick behind every problem like this
This is so much help ! Thank you for making me surviving my final .❤️!
I'm so glad it helped, and I hope your final exam goes great!
I really wanna appreciate you for this amazing video ........
perfect video
very well explaination
Wowwwww!!!!Really fabulous explanation Mam.
Start taking Zoom classes.:]
Thank you so much, really ❤
That was a great explanation. Thanks a lot @kristaking :)
Thanks!
you're amazing. thank you for the help
+Tiisetso Mashele Thank you so much, I'm happy to help!
Very helpful...thank you very much
+Soumyadeep Chatterjee You're welcome, I'm so glad it helped!
This beats my book, professor, the tutoring center... you name it. Thank you so much! :)
Awww thanks Michael! So glad it helped! :D
Thank you very much
Really helpful. Thank you a lot
Miss for example if that the surface enclosed for z=4-X^2-Y.....not 2X...will the process be still the same
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?
LIFE SAVER
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
Thanks for the great video!
My pleasure, Carla, I'm glad you liked it! :)
Can the bounds of integration differ? EX: z [0, 4], y[0, 4-z], x[0, 4-y/2-z/2]
gotten something, thanks.
You showed the exact thing that i wanted to know
Oh good! I'm so glad it helped! :D
Great video. Thanks a lot!!
Thank you so much, and you're welcome!
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!
+Robert Summers I'm so glad you're liking them!
you saved my final sem exam. thanks a lot
I'm so glad I was able to help, Ashish! :D
Thankyou very much mam
You are the best :)
Thank youuuu
thanks u are The Best ma'am
So could you do it as:
Z [0, 4]
Y [0, Z-4]
X [0, 2-Y/2-Z/2]?
THANK YOU
WoW...nice explanation.....
Thanks!
Good explanation...
Thanks!
It so simple thanks ❤
You're welcome, Ahmed! 😊
thanks
THANK YOU!
You're welcome, Tyler! :)
perfecto
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 .
You are awesome!!.Thanks
Thank you thank you thank you! 🙏🙏
I love it thank you so much
You're welcome, Garvit, I'm so glad you liked it! :)
crystal clear!
Why cant we say bounds of Y [0,4] as shown in XY coordinates ?
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
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).
Thank you so much! Now this seems so understandable! :D
+Renato Afonso I'm so glad it's making more sense!
Thank you so much!😘