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!

Evaluating path along a circle

  1. May 4, 2009 #1
    Evaluate the line integral of f(x,y) = x+2y along C, where C is the path counterclockwise around the upper half of the unit circle


    Attempt:
    parametric r(t)= cos(t)i + sin(t)j 0<t<pi ds=root(1)dt

    integrate from 0 to pi the function cost + 2sint, and i get -2.

    correct answer is 4. i think im writing the parametric wrong or something. help?
     
  2. jcsd
  3. May 4, 2009 #2
    Your formula is correct. However, notice that it is counter clockwise
    Think about your order of integration, where do you start and where do you end?

    Now with that in mind, you should get 4.
    (and actually I think you make some calculation mistakes, because the way you did it, you should get -4 instead of -2. Check your calculation.)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook