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.
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.
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!!!!!
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!
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.
@@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.
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!
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.
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?
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.
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.
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.
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?
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?
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.
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?
at 6:00 I think x^2 = 4 gives x = + or - 2 instead of sqrt of 2
correct
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
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
This is more efficient and reliable than the methods they teach us, not to mention easier to understand.
5:31 for constant limits that is the last one, no other variable should be present
Your chart method is such an intuitive way of looking at things. Thank you Krista, this really helped!!
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.
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.
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.
Hi Krista, the constant values for x should be 2 and negative 2 instead of positive and negative root 2.
dude your a living legend! this is like the 30th video ive watched from you on multi variable calculus!
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!!!!!
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!
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
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 :/
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
Krista is the goat, saved me fr
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!!
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. :)
thanks for perfect explanation.I have taken this course 3 years . Now , I ' m clear
I'm 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!
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.
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 ❤️
Our lecturers can’t explain like this 🥺.Thank you so much 🔥🔥🔥🔥
You're very welcome, Privilege! I'm happy to help! :)
You are a lifesaver!
It cleared my doubt. Thanks a lot 🙏💕 from 🇮🇳
What if you are given the limits of integration instead?
how do you use this method if you are only given the limits of integration
Thumbs up Ms. you've really helped me...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?
should that be root of 2 or just 2??
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!
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.
Please keep making videos like this to help everyone with calculus🙏🙏
😊
Nice madam
The steps are quite good.
The steps you taught ....is very good.
Thanks a lot, Bapuna! 😊
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
your voice is so calming
BEST TIP EVER
Watching this the day before my test, thank you!! :)
You're welcome, Danika! I hope the test went great! :D
Spectacular explanation
Thank you so much, Nikhil! :)
this never made so much sense!!! calc 3 exam tomorrow! thank you
You're welcome, hope the exam went great!
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..
how can we thank you enough for your great help?
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.
Do all integrals have the same volume?
Does this always work?
Awesome explanation and great visuals!
Thanks, Jared! :D
Thank you, Krista!
You're welcome, Zephyr!
This is very very good. Thank you.
watching this 2 hours before my exam lmao
I'm so glad I saw this
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?>>
What if the integral is not simple in x and y and you need to break it up into multiple domains?
This is so helpful. Thank you for making this video.
+Will Alex You're welcome, I'm so glad I could help!
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.
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?
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!
This is so good and still very valid. Thank you
At 6:20 sec it's not √2 just +/- 2
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.
This helped me a lot! Thank you.
So glad it could help!
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! 😜
Thank you for sharing this, it helps me a lot.
Oh good! I'm so glad it helped! :)
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?
Thats indeed the perfection .. love it.. thank u ..
great video
YOU ARE THE BEST!!
Good job, thank you for the video!
Thanks!
Thanks! Super helpful!
You're welcome, Joseph, so glad it helped! 😊
this was really helpful muchas gracias!
De nada, Brian, I'm so glad I could help! :D
thank you so much what an easy way
You're welcome, Abdo, glad it helped!
Very helpful, thank you.
You're welcome, I'm so glad it helped!!
Thank you so much. It helped me a lot.
You're welcome, Phuong! :)
Thank you so much!!! This has been really helpful.
You're welcome, Christal, I'm so glad it helped!!
So much helpful thank you so much 😍
You're welcome, Balaj! :D
This is so great, thanks a lot.
:D
Becker Lethc
Thank you
You said ''finding the volume'', you mean the hyper volume right??
perfect technic, Thank you
:D
love love love ur voice!!!!
This is awesome!
Aw thanks! I'm glad you liked it!
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?
pretty nice explained
Damn!!! thus what i was looking for.Thanks !
You're welcome!
saves me during corona thanks
My teacher didn't teach this.... thank you so much
You're welcome, Spencer! Glad it helped! :D
thanks so much
this is awesome..its like a machine...
+Thabang Joel :D
x^2 = 4, x = 2 not +/- sqrt(2)
Very very helpful
My Prof. taught us this section, then told us to go home and watch your videos.
thank you very much! :D
Everything in Clac 3 was simple... except for tripple integrals. For the life of me I cannot seem to get them.
1000th like!!
OMG THANK YOU SO MUCH
:D
doesn't work with my functions.
very helpful. Thanks :-)
thank you so much!
You're welcome! :)