Mass and center of mass with triple integrals (KristaKingMath)

Learn how to use triple integrals to find mass and center of mass of a solid, E, with a given density function p (rho)

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[adelnaqvi]

you are a LIFE SAFER. Thank you so much for making all the videos you have made on multivariable calc.

[Augustvfx]

Hey, just wanted to say your awesome and the best there is honestly. Im a mechanical engineering major and I have been watching your videos since I began my math journey. They have helped so much and I am nothing but grateful. Your a great teacher so keep up the good work, your changing lives :D

[davidumann]

I just barely passed my math examination, and you played a part in it.
Thank you, random video from 7 years ago!

[amirahhill]

Should Mxy be z bar and Mxz be y bar and Myz be x bar? at 10:56. Thanks for all your help! Love your videos!!!! I just "read along" with my Stewart Calc textbook and I saw the above on page 1023. Does it really matter what the order of the "bars" are?

[Sugarkryptonite]

I believe there is a mistake here...looking at my textbook, Mxy is z bar, and Myz is x bar. I think you switched them by accident?

[sunflower-Sept]

This video is very informative and easily comprehensible. Great job!

[nikanov]

Thank you very much! Helped me a lot.
Greetings from Austria

[elisefischer-colbrie]

ugh thank you so much 1000x better than my textbook

[nathanskinner]

There is a mistake in the video, at the end you mislabled z and x bar

[martinxiang]

This video has very well done. Thank you for your hard work. :)

[jonschmidt]

Thank you so much!!! You don't know how much you've just helped me! you da best!!!! :)

[TheDrBB]

Thanks for explaining how to mechanically do it, now to look for a damn intuiton for this because there's no way I'm memorizing this for a math exam.

[MadisonBrown-tfll]

Not sure if you or anyone who knows will see this, but what program are you using to draw? I tutor and teach math and have been playing around with different drawing apps

[katielindsay]

will all of the coordinates be the same every time or is this just a special case?