Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By romsek

Math Help - Computing Integral - ball

  1. #1
    Junior Member
    Joined
    Mar 2014
    From
    Denmark
    Posts
    61

    Computing Integral - ball

    I have this question attached.

    Computing Integral - ball-scan_marts-31-2014-12-39-10-960-am.png

    Spherical*
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    2,657
    Thanks
    1066

    Re: Computing Integral - ball

    I'd really recommend doing this in spherical coordinates.

    $x^2+y^2 \to \rho^2 \sin^2(\theta)$

    $dx~dy~dz~ \to \rho^2 \sin(\theta) d\rho~d\theta~d\phi$

    $0 \leq \rho \leq d$

    $0 \leq \theta \leq \pi$

    You can see that $\phi$ doesn't appear in the integral anywhere so integration over $\phi$ just adds a factor of $2 \pi$

    you should be able to manage it from here.
    Thanks from kaemper
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Computing an integral
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 21st 2012, 05:06 AM
  2. Computing Integral
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 2nd 2011, 09:03 AM
  3. Computing an Integral
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 29th 2010, 07:49 AM
  4. Computing the Definite integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: April 21st 2009, 03:30 AM
  5. [SOLVED] computing integral
    Posted in the Calculus Forum
    Replies: 6
    Last Post: November 20th 2007, 08:45 AM

Search Tags


/mathhelpforum @mathhelpforum