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Triple Integrals

  1. Jun 14, 2010 #1
    1. The problem statement, all variables and given/known data

    Here is a solved problem:

    [PLAIN]http://img3.imageshack.us/img3/6948/97765276.gif [Broken]

    In part (e), they formulated the triple integral using the limits of integration they found by sketching the region. Is there a way we can find the limits of integration without sketching the region? To me, sketching this graph looks complicated, so I'm wondering if we can determine the limits for the iterated integral by just using the given equations...

    3. The attempt at a solution

    I appreciate any help. :smile:
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Jun 15, 2010 #2


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    Homework Helper

    Why would sketching a plane be complicated? 3 points are enough to determine a plane. So, for example, if you have some plane given with x + y + z = C, set x = y = 0 and find z, then set y = z = 0, and find x, and set x = z = 0, and find y.
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