Limits of a Triple Integral

The question I am trying to work out states that a TETRAHEDRON, , is bounded by the planes , , and .

The triple integral is given as:

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 would be but the others have me stumped.

Help anyone?

Tammy

2 Attachment(s)

Re: Limits of a Triple Integral

Attachment 28236

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

Attachment 28235

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.