Results 1 to 3 of 3

Math Help - Triple integral

  1. #1
    Junior Member
    Joined
    May 2011
    Posts
    28

    Triple integral

    ImageShack® - Online Photo and Video Hosting

    I dont know how to get the 3 limits, could someone teach me how to do it? Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by qwerty1234 View Post
    ImageShack® - Online Photo and Video Hosting

    I dont know how to get the 3 limits, could someone teach me how to do it? Thanks
    In spherical coordinates we have

    x=r\sin(\theta)\cos(\phi) \quad y=r\sin(\theta)\sin(\phi) \quad z=r\cos(\theta)

    and

    x^2+y^2+z^2=r^2

    Since you want a hemisphere the azimuthal angle theta will be in

    \theta  \in  \left[0,\frac{\pi}{2} \right]

    \phi \in [0,2\pi]

    r \in [0,a]

    Don't forget the Jacobian is

    dV=r^2\sin(\theta)\dr d\theta d\phi
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    May 2011
    Posts
    28
    thanks!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Triple integral
    Posted in the Calculus Forum
    Replies: 6
    Last Post: August 9th 2011, 06:54 AM
  2. Triple integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 18th 2010, 06:02 AM
  3. Double Integral and Triple Integral question
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 3rd 2010, 12:47 PM
  4. Triple Integral
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 31st 2009, 04:29 AM
  5. Triple integral
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 10th 2009, 12:04 PM

Search Tags


/mathhelpforum @mathhelpforum