- #1
chinye11
- 22
- 0
Homework Statement
Let D = { (x,y,z) } such that x^2 + y^2 < 1 and -1 < z < 1 } denote the interior of a cylinder. Compute the triple integral of ( xyz dxdydz )
Homework Equations
The Attempt at a Solution
Ok so it seems to me that the boundaries should be as follows,
-1< x < 1
-Sqrt [1 - y^2] < y < Sqrt [1 - y^2]
-1 < z < 1
However all the boundaries above are in the form of the integral between plus or minus (a)
Now when I perform an integral on xyz i find that the since the a and -a are squared then their respective results are taken from each other you get zero regardless of order.