Results 1 to 2 of 2

Thread: Help with integration

  1. #1
    Sep 2008

    Help with integration

    Ok, so I have a general question about integrals that I hope someone can help me understand through a specific question. One of the problems that I am working on is to evaluate the following integral:

     \frac{q}{2a} \cdot \int_{-a}^a \frac{dx}{(r^2-2rx+a^2)^{1/2}}

    where q>0.

    The problem asks me to evalaute the integral for two cases: (1) when 0 is less than or equal to r is less than or equal to a and (2) when r > a. I just get that the integral's solution is q/r. How will the relative sizes of r and a be important? Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member Greengoblin's Avatar
    Feb 2008
    Not sure about the inequalities, since evaluating the integral with the constants a and r, will be the same in both cases, since we need not know their values to manipulate them algebraically. Also I got the integral to be q/2r.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: Nov 3rd 2010, 01:54 AM
  2. Replies: 2
    Last Post: Nov 2nd 2010, 05:57 AM
  3. Replies: 8
    Last Post: Sep 2nd 2010, 01:27 PM
  4. Replies: 2
    Last Post: Feb 19th 2010, 11:55 AM
  5. Replies: 6
    Last Post: May 25th 2009, 07:58 AM

Search Tags

/mathhelpforum @mathhelpforum