Results 1 to 2 of 2

Thread: a mixed integration and trig problem

  1. #1
    Newbie
    Joined
    Jul 2007
    Posts
    3

    a mixed integration and trig problem

    I am working on this question, using all sorts of trig identities, but I didn't get very far. I am not sure also how to do the double integral. The problem is:
    what is given is:

    1. $\displaystyle L_{s}=\displaystyle{\int} dxdyD_{s}(x,y)Acos(Kxcos(\Theta)+Kysin(\Theta)-\Phi)$
    2. $\displaystyle D_{s}(x,y)=\frac{1}{2\pi\sigma_{x}\sigma_{y}}e^{(-\frac{x^2}{2\sigma_{x}^2}-\frac{y^2}{2\sigma_{y}^2})}cos(kx-\phi)$

    3. $\displaystyle \sigma_{x}=\sigma_{y}=\sigma$
    what you have to proove is:

    $\displaystyle L_{s}=\frac{A}{2}e^{(-\frac{\sigma^2(k^2+K^2)}{2})}\displaystyle{(}cos(\ phi-\Phi)e^{(\sigma^2kKcos(\Theta))}+cos(\phi+\Phi)e^{ (-\sigma^2kKcos(\Theta))}\displaystyle{)}$

    Any help will be greatly appreciated...
    Thanks,
    eran
    Last edited by eldar_e; Jul 20th 2007 at 11:20 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Jul 2007
    Posts
    3

    Changed question into LaTex

    Maybe now it will be easier to solve it..
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Integration problem involving trig
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Dec 1st 2010, 01:32 AM
  2. mixed variable integration coefficient
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: Nov 13th 2010, 07:12 AM
  3. Mixed estimation problem
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: Jan 19th 2010, 01:53 PM
  4. Problem with Integration of trig functions
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Aug 29th 2009, 02:55 AM
  5. Trig substitution integration problem
    Posted in the Calculus Forum
    Replies: 7
    Last Post: May 6th 2008, 08:40 PM

Search Tags


/mathhelpforum @mathhelpforum