# Math Help - Limits of a Triple Integral

1. ## Limits of a Triple Integral

The question I am trying to work out states that a TETRAHEDRON, $T$, is bounded by the planes $x=2$, $y=0$, $z=0$ and $3x-6y-2z=0$.

The triple integral is given as: $\int\int\int_{T} x dv$

I am have an extremely tough time in trying to visualize and draw the region, also determining the limits of each of the integral.

I think the innermost limit for $dz$ would be $0\leq z \leq \frac{3}{2}x - 3y$ but the others have me stumped.

Help anyone?
Tammy

2. ## Re: Limits of a Triple Integral

See the attached figures and try to visualize the limits....

3. ## Re: Limits of a Triple Integral

Thank you for the images. Now I do can visualise the planes.

But I am really sorry to be so dense but how do I determine the limits for dy and dx.

Do I need to work out where the planes intersect? I am really struggling to understand this.