1. Limited time only! Sign up for a free 30min personal 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!

Work made in field, leads to Bessel function

  1. Nov 26, 2012 #1
    1. The problem statement, all variables and given/known data

    Compute work: [tex]\vec{F}=[\sin y,\sin x][/tex] on bound: [tex]\partial D\colon 0\le y\le x[/tex] and [tex]x^2+y^2\le1[/tex].

    3. The attempt at a solution

    I have been working with integrals for many years, but this exercise was problematic for me because of the following integral:

    [tex]\iint\limits_D(\cos x-\cos y)\,\text dx\,\text dy[/tex]

    I tried polar coordinations, but it follows to [tex]\cos(r\sin\theta)[/tex] and similar functions. Is there any easy way to solve it?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Work made in field, leads to Bessel function
  1. Bessel function (Replies: 1)

  2. Bessel function (Replies: 1)

  3. Bessel functions (Replies: 0)

  4. Bessel function (Replies: 5)

  5. Bessel functions (Replies: 1)

Loading...