Results 1 to 4 of 4

Math Help - Jacobian transformation integral

  1. #1
    Junior Member
    Joined
    Dec 2012
    From
    ny
    Posts
    63
    Thanks
    6

    Jacobian transformation integral

    \int \int x^2dA=6\pi....where 9x^2+4y^2=36, x=2u, y=3v
    ellipse is the 1st region.... there are theoretical proofs of the Jacobian transformation using vector analysis? the higher powers of the Jacobian are used for general relativity
    Last edited by mathlover10; April 24th 2013 at 12:14 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,607
    Thanks
    591

    Re: Jacobian transformation integral

    Hey mathlover10.

    Are you talking about the substitution theorems for multi-variable calculus?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    10,969
    Thanks
    1011

    Re: Jacobian transformation integral

    Quote Originally Posted by mathlover10 View Post
    \int \int x^2dA=6\pi....where 9x^2+4y^2=36, x=2u, y=3v
    ellipse is the 1st region.... there are theoretical proofs of the Jacobian transformation using vector analysis? the higher powers of the Jacobian are used for general relativity
    I'm not sure what you're asking. Are you asking to actually evaluate this double integral using the given transformation, or do you want more information about transformations and Jacobians in general?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Dec 2012
    From
    ny
    Posts
    63
    Thanks
    6

    Re: Jacobian transformation integral

    this is an easy integral you can do by inspection where u^2+v^2=1 and you can change to radial coordinates or use square root limits
    I've worked through the proof of approximating the image region R by secant vectors in Stewart in change of variable integrals but was a little unclear...I've heard that Hubbard or others are good texts....but maybe it's better to spend time learning other things like complex analysis?....
    Last edited by mathlover10; April 26th 2013 at 09:58 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: February 21st 2013, 11:29 PM
  2. Replies: 0
    Last Post: February 9th 2011, 07:08 AM
  3. coordinate transformation double integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 10th 2010, 04:43 AM
  4. Replies: 2
    Last Post: September 22nd 2009, 08:11 AM
  5. tough double integral, involves transformation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 27th 2008, 03:07 PM

Search Tags


/mathhelpforum @mathhelpforum