Added: 3 years ago
From: khanacademy
Views: 39,019
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  • y=6????????????????????????

  • Comment removed

  • very very good

  • truly honestly sincerely thankfully gratefully ...etc we never can pay you back for your help with nothing ..! your desire to help and share uneasily gained knowledge just shows that you are god .!! thanks alot ...

  • when do you use double vs triple integrals can a viewer/person who made video answer either in reply or pm

    ty

  • @coltsfancolts

    When you just watch all the videos of double and triple integrals and listen closely to WHAT they are. It i impossible for you not to know the answer to that question.

  • I've been watching these videos to figure out how to calculate the volume of a pyramid using integral but no luck so far.

  • Amazing Mr.Khan , well done

  • I just want to know which figure's volume are we finding out?

    or mass? Is it like the triangular thing he draws first? the volume under that one?

    OR is it the volume between the plane z=2 AND the traingular graph thing?

  • @Incognito6543 IThe mass of the 'object' between the plane z=2 and the plane 2x+3z+y=6; for which you need the object's volume and density (p=M/V); where density p=yzx^2.

  • WHERE IS THE NEXT VIDEO???

  • whats the title of the next video? I wanna watch more... I'm watching while checking if my assignment is correct, but nope,so i am thankful that I watch this video first before I pass my assignment this afternoon..:)

  • ur videos have helped me 2 understand 3 integral but now i have to see what can i do with real sums om my real paper...god wish me luck....but thanks for helping me

  • if the volume we're going to find is the region between the green plane and the plane, wouldn't the x boundaries be from the line x=3-1/2y to 3 since the base is the plane, wouldnt x boundaries from 0 to x=3-1/2y be the region under the slanted plane and not above it?

  • @aim9x that is the exact same thing I thought when I did the problem before he explained the answer

  • thanks for the lesson!

    btw, u sound a lot like Charlie the Unicorn =x

  • triple integrals are fun :D

  • This one got me through my exam!! Brilliant :)

  • Cool! Except for that last part...why are the last boundaries 0 to 6 and not 0 to 6 - 2x?

    That's kind of what you did for your x boundaries, why change up technique for y boundaries? I understand you want a constant for the last integral, but does that mean you can you just add a constant when convenient? The y does change... a lil confused.

  • @USMChiLD so did u found out the reason for taking uuper boundary of y=6 and not y=6-2x ?pls answer me i m so confused right now

  • @missjust4chill Usually when setting up ur 3 integrals u want to make it so that ur last integration is from one constant to another. Because ur doing a projection, u can think of it as though you were figuring out the aread of a triangle. Because he wrote x as a function of y, well then you just plug in your values of y which only range from 0 to 6.

    Kind of like when you're graphing a line you usually have y as a function of x. here u plug in y, where it's only from 0 to 6.

  • at 10:44 he surely meant to say "the top bound should be in terms of y"

  • where's the next video?

  • thank you!

  • will you gonna upload videos for sequences and series?

  • Are you using proengineering to make these drawings?

  • microsoft paint it looks like

  • I think you are right.

  • he just uses paint :P

  • You are amazing person ! My son is just wondering from topic to topic....he is only 9, but love to do calculus , I really am amazed ... you are the driving engine of his journey.

    Michael, Vancouver BC

  • @elementoxygen that is amazing... i am 19 and doing this and i think this is hard... kudos to him.

  • @elementoxygen holy fuck 9 year old doing calculus, your son is a fucking god

  • @elementoxygen

    he might be gay

  • @somethingonmyhip I am definitely NOT gay, last time I checked...

  • @elementoxygen 9 yr old doing calculus?! smart kid :D

  • @800alias Thanks a lot!

  • @elementoxygen is he asian?

  • @kw980904 I'm actually African-Canadian

  • I've discovered the beauty of math thanks to you.. THANKS

  • I must admit this finally got over my head...

    Stuff covered in vids 89-103 better not come up much on AP Calc BC, cause I don't know it well enough yet.

  • This isn't, it's multivariable.

  • I don't know vis, but what kind of calculus is left after these 103 videos?

  • analysis?

  • Hey, Sal, great vidz. But.. are you going to make any more calculus videos? Thanks.

  • there is no next video?

  • thanks for your help

  • Calculus

  • Thanks

  • amazing! i have a test in a few hours! cant find video 4 though:(

  • Thank you, well explained!

    :)

  • well, thanks to you. I managed to understand what you are talking about. A lot of abstract thinking, but I see what you mean. Good thing I know how to set up the integral and my professor is going to teach that next month. So thanks to you I have a headstart. :)

  • Clearly the guy below me shares a minority opinion.

    Anyways, at the very end, when integrating with respect to y, how could the upper bound be y=6? It's only y=6 at the far left when x=0? It should be a variable bound.

    I know for almost certain that I'm wrong because (a) Sal knows what he's doing and (b) a variable bound would not have been placed on the outermost integral!

  • I can't understand what the problem is. You make it sound as if you are forced to watch this man. He is giving you his time and knowledge and yet you are complaining.

  • @CogitoErgoCogitoSum: “Its really frustrating to be intellectually capable of learning this stuff, but to be turned off from doing so because you repeat yourself like we didnt catch it the first time.” – Ha, really…? You are intellectually capable, but were “turned off” because he repeated himself too many times. Sounds more like you thought to hard during the presentation and were trying to understand the concept as well as the teacher but couldn’t.

  • @CogitoErgoCogitoSum: “You could consolidate all 5000 hours of play time of Sals videos into one five minute clip and youd probably learn more.”; “Sal reiterates EVERYTHING”; “You waste too much time yapping.”; “You are redundant. You keep saying the same things over and over.” – It also turns out your page-and-a-half of spam could be condensed into a single paragraph. [1]

  • @CogitoErgoCogitoSum: You are calling Sal redundant and saying he uses too many sentences to explain things, you should talk moron; it took you a page-and-a-half to get your crass and unsubstantiated point across. [2]

  • How many comments do you have to leave saying the same thing? Seriously, you could have said that, in like, one comment, I find myself skipping over what you're writing. Only to miss out on what a jerk you are.

    These videos are the best. I really appreciate them.

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