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!

Homework Help: Integral Over A Region

  1. Mar 23, 2009 #1
    I have to compute the Index around a positively-oriented loop that surrounds the origin. I can use the loop given by (x(s),y(s))=(cos(s),sin(s)), 0<=s<=2*pi.

    The first example is:

    x' = ax, y' = by, with a>0 and b>0

    The formula for the Index around the loop is:
    [tex]\frac{1}{2\pi}\int\frac{PdQ-QdP}{P^2+Q^2}[/tex] over L, where x'=P and y'=Q

    So for this first example, I get:

    [tex]\frac{1}{2\pi}\int\frac{ab(x-y)}{(ax)^2+(by)^2}[/tex] over L

    But I COMPLETELY forget how to take integrals over regions. Can anyone help me out? Thank you.
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

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