- #1
Durdum
- 6
- 0
Member warned that an effort toward solution must be shown
Homework Statement
Why is it symmetrical thus zero?
Homework Equations
The original equation is with main focus on the first part, cause therein lies the symmetry
[tex] \int\int\int xy \quad dV + \int\int\int z^2 \quad dV [/tex]
and
[tex] 0 \leq z\leq 1 - x - y [/tex]
See also the picture!
The Attempt at a Solution
I drew a drawing in the xy-plane and it was a line with equation [tex]y = 1-x[/tex].
So that allowed me to set up the triple integral as:
[tex]\int_{0}^{1}\int_{0}^{1-x}\int_{0}^{1-x-y} xy \quad dzdydx = \frac{1}{120}[/tex]
Attachments
Last edited: