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Integrate substraction of squareroots

  1. Nov 19, 2012 #1
    1. The problem statement, all variables and given/known data

    I'm having some troubles with my calculus. I can't get from the first step to the second step in the example below:

    2. Relevant equations

    http://img853.imageshack.us/img853/4350/unavngivetpn.png [Broken]

    3. The attempt at a solution

    [tex] \int_{-L/2}^{L/2} [R^2 + (Z-Z_0)^2]^{1/2} - \int_{-L/2}^{L/2} [(Z-Z_0)^2]^{1/2} [/tex]

    The last term I have calculated to be [itex]-Z_0 L [/itex] which matches the solution. The first term however I'm having some problems with. Is trig substitution necessary here?
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Nov 19, 2012 #2

    I like Serena

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  4. Nov 19, 2012 #3

    Dick

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    And, yes, to derive the result in the table you want a trig or hyperbolic trig substitution.
     
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