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

Simplification of Integration Problem

  1. Nov 25, 2009 #1
    Hi,

    I have a problem with an integral - I'd like to simplify it as much as possible....


    [tex] y =[/tex][tex]\int\frac{1}{f(theta,phi) }d.phi / \int\frac{1}{g(theta,phi)} d.phi[/tex]


    2 different functions integrated with respect to phi. Note the division symbol between the integrals!

    The limits of the integrals are the same so can I just put them in the same integration? Or should I do the integrations separately then divide the end result?

    Thanks!
     
  2. jcsd
  3. Nov 25, 2009 #2

    nicksauce

    User Avatar
    Science Advisor
    Homework Helper

    You most certainly cannot (in general) put them into the same integral. Test it out with a simple case. f(x) = x, g(x) = x. Then int(f)/int(g) = 1, but int(f/g) = int(1) = x.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Simplification of Integration Problem
  1. Integration problem (Replies: 4)

  2. Integration problems (Replies: 3)

  3. Integral problem (Replies: 3)

Loading...