Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Area and Volume integral using polar coordinates

  1. Apr 30, 2012 #1
    Hi

    I'm working on area and volume integrals. I was wondering, when you convert to do the integral in polar, cylindrical or spherical co-ordinates, is there a standard set of limits for the theta variable in each case?

    for example from 0 -pi for polar, 0-2pi for cylindrical?

    If not how do you set the limits?

    Thankyou
     
  2. jcsd
  3. Apr 30, 2012 #2


    It all depends, of course, on the area to be integrated over. If, for example, you want to calculate the area of the

    upper semicircle [itex]x^2+y^2=R^2\,,\,\,y\geq 0[/itex] , then upon passing to polar co. you'll have [itex]0\leq \theta\leq \pi[/itex] .

    Over other areas you might have have different ranges.

    DonAntonio
     
  4. Apr 30, 2012 #3
    I see, Thankyou!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook