holy crap this video is amazing, I've been struggling with triple integrals for this past senior year in high school and this video is a game-changer. No joke, I don't even comment on videos but this has actually saved me, I have 2 upcoming quizzes based on this, thanks so much.
I only discovered your channel this weekend as I'm reviewing for my final - this is the most helpful, clear, incredible perspective on math that I've ever seen. Now I'm really considering subscribing to your website for my differential equations course next semester. I wish I had known about your work before I started college.
This is a topic I have been struggling to Understand in Multivariate calculus for a long time now and you have made things very clear for me with this video!
Could you do a problem where the bounds of the original integral are given and then find the new integrals by graphing the bounds? I have trouble on how to slice the region.
I just have to say thank you - thank you so much! Neither my textbook or online homework explained how to come up with the limits, which I think is the hardest step of evaluating the integral. This is genius!!!!!
I watched too many different videos and most of the people can not explain this order of integration very well. you made it so simple and help me too much. thank you very much.
THANK YOU SO MUCH! My teacher didn't explain this well, and I was so grateful for this video, especially when you introduced the table! Thanks again, Krista!
@@스텔-c6o She was teaching in a so nice approach. She did it so correctly. Unfortunately if she made one mistake, u shouldn't comment like this. After searching so many videos i found it more clear and transparent.
great lesson... is there a way to do it 9 ways with a solid bounded above z=x+y-2 and below z=0? I know how to do 6 from your lesson, is there 3 more ways... I was thinking of splitting the solid in 2 and triple iterate the integral with half the solid... I know I am looking at an isosceles triangle, if I am looking above the solid.
I have a similar question A solid in the first octant containing the origin and bounded by sections of the plane y = 1 + 2x and the sphere x^2 + y^2 + z^2 = 4 How can we expres in 6 ways? It seems that i cant use your method... Thank you.
Thanks. I've always wondered what to do with these "general" problems in which no or few limits of integration are given. Do you have a vid that covers how to pick the best order, or is this something only gained by experience?
A soul less tour de force. Ought to explain at the outset thar 1) first we write an equation of one side expressed in terms of the other 2 sides. 2) we then integrate this equation (of the first side) over the next side to get an area and express them in terms of the 3rd side. 3)Finally we integrate this area over the 3rd side between definite limits to get a definite integral representing a numerical volume.
Though this video is very useful, this method can be applied only when its possible to form such a table. But look at this question : Find the volume under the surface x+2y+z=4 and above the circle (x^2)+(y^2)=4 in the xy plane. It's not possible to form the table in this case. Thank you as it has helped me to solve questions where I can form the table of limits.
Quick question: Does this work for any triple integral? I'm really bad at sketching and visualizing domains in 3 dimension. If so, this would be a godsend.
wow i just loved the way you explained without a graph. I just have a question; what if there was y^2 in the equation instead of y. You would get two values of y from the equations and have 0 as given values so what will be the limits. And also if y was equal to something else say 2 instead of 0 would we still be substituting the value of y as 0 in the equation or should we consider 2 instead? please reply . thank you
Hi there. I have a similar question but the limits are defined by y^2 + z^2 = x and plane x=4. When finding the y(z) and z(y), we get y=√-z^2 and z=√-y^2 which is giving imaginary numbers. How would we proceed for such a problem?
hi, u r really good at math. there's a subject called (volume integral) it's just like triple integral but with (divergant) or something can u explain it pls?
What about if instead of the curves being our givens they already give us a triple integral and we have to change the order of integration, would this method work and how?
at 6:00 I think x^2 = 4 gives x = + or - 2 instead of sqrt of 2
correct
Thank you soo much test tomorrow and no clue how to even start these !! lol
oh and bit confused @ 5:47 shouldn't x = +/- 2 not +/- (2)^(1/2) ? a
I've never been told a methodical way of doing triple integrals like this. You've saved my life.
+Laura Gibbs I'm so glad it helped!
This is a godsend for those of us who suck at graphing and visualising. This is the only thing I've seen that actually makes sense at all.
I'm so glad it helped, Thoran! :D
5:31 for constant limits that is the last one, no other variable should be present
This is more efficient and reliable than the methods they teach us, not to mention easier to understand.
Your chart method is such an intuitive way of looking at things. Thank you Krista, this really helped!!
holy crap this video is amazing, I've been struggling with triple integrals for this past senior year in high school and this video is a game-changer. No joke, I don't even comment on videos but this has actually saved me, I have 2 upcoming quizzes based on this, thanks so much.
I only discovered your channel this weekend as I'm reviewing for my final - this is the most helpful, clear, incredible perspective on math that I've ever seen. Now I'm really considering subscribing to your website for my differential equations course next semester. I wish I had known about your work before I started college.
This is a topic I have been struggling to Understand in Multivariate calculus for a long time now and you have made things very clear for me with this video!
+ethan glenn I'm so glad I could help!
dude your a living legend! this is like the 30th video ive watched from you on multi variable calculus!
Could you do a problem where the bounds of the original integral are given and then find the new integrals by graphing the bounds? I have trouble on how to slice the region.
I just have to say thank you - thank you so much! Neither my textbook or online homework explained how to come up with the limits, which I think is the hardest step of evaluating the integral. This is genius!!!!!
I watched too many different videos and most of the people can not explain this order of integration very well. you made it so simple and help me too much. thank you very much.
You're welcome, Muhammad! I'm so glad it helped! :D
THANK YOU SO MUCH! My teacher didn't explain this well, and I was so grateful for this video, especially when you introduced the table! Thanks again, Krista!
You're welcome Emily! Glad it could help. :)
That was the best possible explanation on how to do these. You're awesome.! Thank you very much Krista!
Aw thanks! Glad you liked it!
Hi Krista, the constant values for x should be 2 and negative 2 instead of positive and negative root 2.
You are a lifesaver!
watching this 2 hours before my exam.....
I hope your exam went great!
watching 10 minutes before exam
@@ghubb watching during the exam
@@emirmazlum8339 Watching after exam :/
Wow! The table is a stroke of genius. Thank you kindly for helping us make heads from tails or some kind of Cartesian equivalent :0)
+John Gonsalves You're welcome, I'm really glad it helped!!
Krista is the goat, saved me fr
thanks for perfect explanation.I have taken this course 3 years . Now , I ' m clear
I'm glad it could help!
Our lecturers can’t explain like this 🥺.Thank you so much 🔥🔥🔥🔥
You're very welcome, Privilege! I'm happy to help! :)
sqrt4 does not equal root2..
Brandon Jones yeah i was like what is she smoking
dude yeah she made a mistake unfortunately
@@스텔-c6o She was teaching in a so nice approach. She did it so correctly. Unfortunately if she made one mistake, u shouldn't comment like this. After searching so many videos i found it more clear and transparent.
@@스텔-c6o NSJSJJSJSJSJ
Thumbs up Ms. you've really helped me...thank you!
thank you, these originally just looked like a puzzle or something to me until I saw how to do them systemically
You're welcome, Cinemá! :D
Watching this the day before my test, thank you!! :)
You're welcome, Danika! I hope the test went great! :D
BEST TIP EVER
It cleared my doubt. Thanks a lot 🙏💕 from 🇮🇳
great lesson... is there a way to do it 9 ways with a solid bounded above z=x+y-2 and below z=0? I know how to do 6 from your lesson, is there 3 more ways... I was thinking of splitting the solid in 2 and triple iterate the integral with half the solid... I know I am looking at an isosceles triangle, if I am looking above the solid.
Please keep making videos like this to help everyone with calculus🙏🙏
😊
your voice is so calming
Thank you, Krista!
You're welcome, Zephyr!
I'm so glad I saw this
Terrific video plus the Jacobian one. Thanks.
Thanks, Rajendra! :)
I had to subscribe after watching. The limits of integration can be tricky but, you break it down..
I have a similar question
A solid in the first octant containing the origin and bounded by sections of the plane y = 1 + 2x and
the sphere x^2 + y^2 + z^2 = 4
How can we expres in 6 ways?
It seems that i cant use your method...
Thank you.
Try intersecting both equations you have and then using the 3 equations you have! That third equation must be what you're missing!
this never made so much sense!!! calc 3 exam tomorrow! thank you
You're welcome, hope the exam went great!
Fantastic... I am to much worried about this topic. But after watching this video I am able to solve such kind of problem 😊😊🙂... Thank you ❤️
Thanks. I've always wondered what to do with these "general" problems in which no or few limits of integration are given. Do you have a vid that covers how to pick the best order, or is this something only gained by experience?
Spectacular explanation
Thank you so much, Nikhil! :)
This is very very good. Thank you.
how can we thank you enough for your great help?
A soul less tour de force. Ought to explain at the outset thar 1) first we write an equation of one side expressed in terms of the other 2 sides.
2) we then integrate this equation (of the first side) over the next side to get an area and express them in terms of the 3rd side.
3)Finally we integrate this area over the 3rd side between definite limits to get a definite integral representing a numerical volume.
Awesome explanation and great visuals!
Thanks, Jared! :D
Though this video is very useful, this method can be applied only when its possible to form such a table. But look at this question : Find the volume under the surface x+2y+z=4 and above the circle (x^2)+(y^2)=4 in the xy plane. It's not possible to form the table in this case. Thank you as it has helped me to solve questions where I can form the table of limits.
This is so helpful. Thank you for making this video.
+Will Alex You're welcome, I'm so glad I could help!
Quick question: Does this work for any triple integral? I'm really bad at sketching and visualizing domains in 3 dimension. If so, this would be a godsend.
YOU ARE THE BEST!!
Nice madam
The steps are quite good.
The steps you taught ....is very good.
Thanks a lot, Bapuna! 😊
This helped me a lot! Thank you.
So glad it could help!
This is so good and still very valid. Thank you
Thank you for sharing this, it helps me a lot.
Oh good! I'm so glad it helped! :)
Thats indeed the perfection .. love it.. thank u ..
What if you are given the limits of integration instead?
Damn!!! thus what i was looking for.Thanks !
You're welcome!
wow i just loved the way you explained without a graph. I just have a question; what if there was y^2 in the equation instead of y. You would get two values of y from the equations and have 0 as given values so what will be the limits. And also if y was equal to something else say 2 instead of 0 would we still be substituting the value of y as 0 in the equation or should we consider 2 instead? please reply . thank you
+Sushant Bhatta If you had y^2, then you probably wouldn't be given y=0, so you'd use those two original values.
I have a similar problem and it does have a value of y. I am not very sure if u can really do these kindda problems without a real graph.
should that be root of 2 or just 2??
Thanks! Super helpful!
You're welcome, Joseph, so glad it helped! 😊
If I fall asleep to these videos with the playlist on loop, will I then be a math genius???
I'm not sure it works quite like that... but it's definitely worth a try! 😜
watching this 2 hours before my exam lmao
great video
Good job, thank you for the video!
Thanks!
This is awesome!
Aw thanks! I'm glad you liked it!
So much helpful thank you so much 😍
You're welcome, Balaj! :D
This is so great, thanks a lot.
:D
Becker Lethc
this was really helpful muchas gracias!
De nada, Brian, I'm so glad I could help! :D
Very helpful, thank you.
You're welcome, I'm so glad it helped!!
Thank you so much!!! This has been really helpful.
You're welcome, Christal, I'm so glad it helped!!
Thank you so much. It helped me a lot.
You're welcome, Phuong! :)
Hi there. I have a similar question but the limits are defined by y^2 + z^2 = x and plane x=4. When finding the y(z) and z(y), we get y=√-z^2 and z=√-y^2 which is giving imaginary numbers. How would we proceed for such a problem?
Did you ever get an answer for that?
how do you use this method if you are only given the limits of integration
hi, u r really good at math. there's a subject called (volume integral) it's just like triple integral but with (divergant) or something can u explain it pls?
love love love ur voice!!!!
thank you so much what an easy way
You're welcome, Abdo, glad it helped!
pretty nice explained
perfect technic, Thank you
:D
this is genius. Will it work everytime? i didnt see it in my book, thats why im wondering
+J Ferro Yes, it'll work everytime!
thank you very much! :D
Thank you
Very very helpful
thanks so much
saves me during corona thanks
OMG THANK YOU SO MUCH
:D
this is awesome..its like a machine...
+Thabang Joel :D
Do all integrals have the same volume?
Does this always work?
My teacher didn't teach this.... thank you so much
You're welcome, Spencer! Glad it helped! :D
What about if instead of the curves being our givens they already give us a triple integral and we have to change the order of integration, would this method work and how?
did you ever get an answer?>>
Thank youuuuu
At 6:20 sec it's not √2 just +/- 2
Madam is there is any pdf format available????
I have PDF versions of all my notes, quizzes, and workbooks in my online school. :)
@@kristakingmath are all those available in the online classes only?
What if the integral is not simple in x and y and you need to break it up into multiple domains?
My Prof. taught us this section, then told us to go home and watch your videos.
thank you so much!
You're welcome! :)
very helpful. Thanks :-)
This helps "put it all together ".
:D
Thank you soooo much
You're welcome Juliano!
+/-2
you are so amazing