The final integral evaluated from x=2 to x=0 should be (9/4)x^2 - 9x + 9 which oddly evaluates to 6, the same answer he got. I wish I could be that lucky.
The surface to curve to point strategy, and when you explained it in terms of a sum column of a table, were super helpful and finally solidified the concept for me!
I never comment on youtube videos, but this time it's worth it. When trying to study this, my book was useless and my online lecture wasn't helpful either and with 3 hours to go before my exam I thought fuck it, I'm gonna try learn it, and here I am. Usually when I search for maths videos there's always comments from people saying "Oh this video saved me 2 hours before my final bla bla bla" and I'm always like that couldn't be me, but this was honestly a really amazing explanation, I went from understanding nothing and skipping multiple exercises, to suddenly understanding it so well. Thank you so much, I wish you were my lecturer.
Almost the same thing happened to me... The explanation given in the online Calculus 3 class that I'm taking right now was confusing to the point that in the middle of explanation you would already forget what we were talking about in the beginning... I do understand that knowledge of "how to proof" something is very important in the Calculus class but I think it's always better to show the concept of solution using the simple language as it's nicely done in this video and only then, when student has a full/complete understanding of the process, professor can show the proof and explanation to "Why it is like that"... This video is basically saved me.
Dr. An I wish there were more people like you in this world. While I understand that there is more complex mathematics than this; It is no great art in confusing your audience. However, a truly brilliant person is one who can take profundity and make it simple. (As you have done in all your videos I have seen) Thank you sir.
This is probably the best explanation I have heard or seen on this concept. Many thanks for sharing. It helped to solidify my thinking. What seemed very difficult is now super clear.
This class has no idea how lucky they are to have him as a lecturer. What I would give to be able to not have to watch 5+ videos for each topic my professor explains to understand a topic.
Isn't there a mistake while resolving the 2nd integral? -3x×3 is not -9, so the x was forgotten, and with a lucky coincidence the result does not vary because when calculating the 3rd integral the extra polinomial is equal to zero when x is equal to 2 ( x - x^2/2).
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At 17:15 , shouldn't be -9x instead of -9?
using -9x, I still got 6. I guess it is lucky he still got the right answer using -9
The final integral evaluated from x=2 to x=0 should be (9/4)x^2 - 9x + 9 which oddly evaluates to 6, the same answer he got. I wish I could be that lucky.
@@everettmcinnis5858 Thanks everyone. I did make a mistake there.
The surface to curve to point strategy, and when you explained it in terms of a sum column of a table, were super helpful and finally solidified the concept for me!
I never comment on youtube videos, but this time it's worth it. When trying to study this, my book was useless and my online lecture wasn't helpful either and with 3 hours to go before my exam I thought fuck it, I'm gonna try learn it, and here I am. Usually when I search for maths videos there's always comments from people saying "Oh this video saved me 2 hours before my final bla bla bla" and I'm always like that couldn't be me, but this was honestly a really amazing explanation, I went from understanding nothing and skipping multiple exercises, to suddenly understanding it so well. Thank you so much, I wish you were my lecturer.
Almost the same thing happened to me... The explanation given in the online Calculus 3 class that I'm taking right now was confusing to the point that in the middle of explanation you would already forget what we were talking about in the beginning... I do understand that knowledge of "how to proof" something is very important in the Calculus class but I think it's always better to show the concept of solution using the simple language as it's nicely done in this video and only then, when student has a full/complete understanding of the process, professor can show the proof and explanation to "Why it is like that"... This video is basically saved me.
Yeah our useless professors make it so much difficult but it's not
mind blowing explanation...thanks a lot sir..I have never seen such an intuitive explanation ever in my college days..
Totally agree with you! This is amazing.
Dr. An I wish there were more people like you in this world. While I understand that there is more complex mathematics than this; It is no great art in confusing your audience. However, a truly brilliant person is one who can take profundity and make it simple. (As you have done in all your videos I have seen) Thank you sir.
I learned more here than my 6 months of lectures
Not all heroes wear capes, thank you professor An
This 20 min is better than my 3 hours class. Thanks a lot.
This is probably the best explanation I have heard or seen on this concept. Many thanks for sharing. It helped to solidify my thinking. What seemed very difficult is now super clear.
Thank you so much! Your explanation helped me understand how to find the bounds with a given
plane!
Thanks so much. I really enjoy when you said curve to curve, which solve my confusion!
MIT student here. Thank you!!!!!!!!! This helped me SO much, I finally feel prepared for my midterm tmo!
Whats MIT ?
@@user-np2ef4pj7w an university
Correct me if im wrong but 6y-3xy-y^2 for y=-3/2x+3 is equal to 9 - 9 x + (9 x^2)/4 and not 9/4x^2 as per 18:10
I got the same answer as you, oddly enough this comes out to 6. I wish I were so lucky.
One of the fantastic video on youtube regarding tripple integral.
After search more than 1 week i got it.😍😍.
I like subscribe and put the comment.
Best explanation I’ve ever seen, what is with professors trying to overcomplicate everything?
thx sir for ultra explanation, 20 min lec, save me from hours of struggling
This guy is amazing.
Thank you so much for this amazing explanation.
I understand triple integrals from my prof but the way you explained everything, I would have understand it easier and faster.
Excellent explanation! Thank you so much
This class has no idea how lucky they are to have him as a lecturer. What I would give to be able to not have to watch 5+ videos for each topic my professor explains to understand a topic.
Isn't there a mistake while resolving the 2nd integral? -3x×3 is not -9, so the x was forgotten, and with a lucky coincidence the result does not vary because when calculating the 3rd integral the extra polinomial is equal to zero when x is equal to 2 ( x - x^2/2).
What you say is right. You and several people pointed this mistake. Thank you.
Thanks sir...🙇♂🙇♂
Amazing video
awesome teacher
well I finally understand triple integrals
simply amazing
Thank you so much for this!
thank u bossman
Thank you!
is there any method to solve this kind of problem without drawing it?
17:15 I think its -9x
thank you so much, this really helped!
What happened at the end lmao!!
A god can make everything right even after a huge mistake.
I feel in integrals the most difficult part is to get right limit vals
Why the slope is - ve ?
What?
Late , but it's because the rate of change is decreasing
MATH IS FUN
Thanks!
7:15
Really, this was the key for me, too.