That was an amazing explanation, thank you so much! You have actually answered all of my questions and problems relating visualization of triple integral problems. Thank you again.
Some lecturers make things very complicated for nothing according to how they explain these problems, but bravo! bravo! to you sirfor simplifying my life in Cal3
taking calc 3 in the summer means the lectures are waaaaaay to fast, and for something like this that requires some time to stop and comprehend, the lectures are pointless, so i've been learning through the textbook, which was actually really effective until triple integrals, which have eluded comprehension for some reason for me, i think its probably just weird examples and not great writing mixed with being rushed. Either way, thanks for this video, it really helped me.
Since we just want the volume of the region, we integrate the function f(x,y,z) = 1. Alternatively, we could have computed a double integral where we subtract the top surface (z = sin y) minus the bottom surface (z = 0) over the triangular region in the xy-plane. I did this one as a triple integral since that's what the video is about.
Geogebra is a good application to view things, when you open it, there should be a box to type things and you will be able to type your function(s). You can also find more information about it on internet 😉
Oh yes...good notation. Very good notation. Thanks for this. No one else is as formal in their scripting.
Can't express how helpful it is that you examined the last problem with all the possible integration orders!
I can't thank you enough.. U just cleared all my doubts.. excellent explanation.. My professor has unnecessarily made it complicated
Yup same here
That was an amazing explanation, thank you so much! You have actually answered all of my questions and problems relating visualization of triple integral problems. Thank you again.
i'm so glad that the exact problem is was stuck on ended up being an example in this video. Makes things 1000x easier for me to understand
Great video, I feel a lot more comfortable setting up bounds now, which is the hardest part :)
This was the best video to find the bounded regions thank you s much
Some lecturers make things very complicated for nothing according to how they explain these problems, but bravo! bravo! to you sirfor simplifying my life in Cal3
great explanation! I have been lost for years trying to figure this stuff out. Thank you so much.
A minute of silence for calculus students who haven’t discovered this channel
You explained this very clearly. Thank you!!
taking calc 3 in the summer means the lectures are waaaaaay to fast, and for something like this that requires some time to stop and comprehend, the lectures are pointless, so i've been learning through the textbook, which was actually really effective until triple integrals, which have eluded comprehension for some reason for me, i think its probably just weird examples and not great writing mixed with being rushed. Either way, thanks for this video, it really helped me.
Thanks for the comment. I'm glad my video helped you!
so simple when its explained liked this! thanks for the video
Outstanding, thank u so much
Outstanding.thank so much
we need more of this in uni, lecturers in uni made it it quite complicated
bro you just saved my life
really helpful stuff, thanks
thank you so much hope i get one of these q tmr...
Nice concept clearing
Great explanation!
thank you so much!
Saved my life
So helpful! Thank you
Nice video thanks, James. In #2, why are you integrating “1 dz” and not “z dz”?
Since we just want the volume of the region, we integrate the function f(x,y,z) = 1. Alternatively, we could have computed a double integral where we subtract the top surface (z = sin y) minus the bottom surface (z = 0) over the triangular region in the xy-plane. I did this one as a triple integral since that's what the video is about.
great explanation sir
Thank you do much 😊
Good stuff
Thanks so much sir I understand perfectly well now
Thank you very much!
thank you
Is there any trick to solve all this problems without drawing just by seeing the terms and given equations?
practice a thousand of these problems and you won't need to draw anymore!
@@vladimirsviridov3329 yes i think you're right.
is there a link for the questions
Thank you so much.This really helped me a lot!!!
Is it okay to find the negative result??!!
did those 6 people dislike this video just because they still could not get it???
Thanks
thank you good sir
Nice
My mind is blown
Sir
What application we can use to graph like the picture you've just presented?
Like in 10:04
Geogebra is a good application to view things, when you open it, there should be a box to type things and you will be able to type your function(s). You can also find more information about it on internet 😉
Thank you soooo much sir
THANK YOU
Can any one telk why the upper limit in x2+y2=4 is zero??
More realistic to not give sketches
Thanks!
much thanks!!!!!!
Cool.