1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A quick triple integral

  1. May 23, 2005 #1
    Firstly, can someone please demonstrate the proper Latex code for the terminals on a multiple integral? Thanks!

    Anyway, as you can probably see, i'm calculating the volume enclosed by x^2+y^2+z^2 = 2 and z = x^2+y^2 using a change to cylindrical coordinates.

    [tex]

    V = \iiint_{0}^{2\pi}_{0}^{\sqrt{2}}_{\rho^2}^{\sqrt{2-\rho^2}} \rho dz\,d\rho\,d\phi

    [/tex]

    Is that integral right?

    The answer i get when evaluating the integral is (pi/3)(4sqrt(2) - 6), which is the same doing it by hand or using Mathematica. But it doesn't agree with the expected answer.
     
    Last edited: May 23, 2005
  2. jcsd
  3. May 23, 2005 #2

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    [tex] V=\int_{0}^{1}\rho \ d\rho \int_{0}^{2\pi} d\varphi \int_{0}^{\rho^{2}} dz [/tex]

    Daniel.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: A quick triple integral
  1. Triple Integral (Replies: 0)

  2. Triple Integral (Replies: 2)

Loading...