Calculus 15.6 Triple Integrals

Calculus: Early Transcendentals 8th Edition by James Stewart

[hollytang]

At 48:41, why do the bounds change for y from -1<y<1 to 0<y<1? I also have trouble understanding where you found the bounds for the moments in the last three minutes of this video.

[juniorcyans]

At 30:53, should it be {D(y, z)…} instead of {D(x, y)…}

[kingmoses]

At 36:12, for D3, how do you get the bounds for z between 0 and x^2? The problem shows the bounds for z as between 0 and y.

[patattack]

Hey All, there is a small typo at 13:55. the ^3 on the x is intended to be outside of the parenthesis.

[patattack]

Hey Asher, I am having trouble determining how you came up with (x^2)+(z^2)=r^2 at ~25:29. If you're able to explain the math or point me to resources that would get me on the path, that would be wonderful. Thank you for all your videos 🙏