Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Triple Integral

  1. Aug 15, 2009 #1
    How would I evaluate the triple integral [tex]\int\int\int_H(x^2+y^2)[/tex] dV,
    where H is the region bounded x2 + y2 = 1, y = x, y = 0, z = 0, z = 2
  2. jcsd
  3. Aug 15, 2009 #2
    It is sector of a cylinder. Try cylindrical coordinates. A very simple integral results.
  4. Aug 15, 2009 #3
    I was about to say Moment of Inertia about the z axis. But no!.

    Um yes when you convert to cylindrical co-ordinates remember the [tex]cos^{2}(x) + sin^{2}(x) = 1[/tex] and you should be left with [tex]r^{2}[/tex]. Making the integration easier. Don't for get the Jacobian.
  5. Aug 15, 2009 #4
    Cheers. Thought so
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook