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Homework Help: Area of a Small Loop of a Lemniscate

  1. Jan 23, 2010 #1
    1. The problem statement, all variables and given/known data

    Small loop of r=1+2sin2(theta)

    2. Relevant equations

    integral of .5[f(theta)]2 d(theta)

    3. The attempt at a solution

    I cannot figure out what the limits of integration are.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jan 24, 2010 #2
    find the maxima and minima of the curve in the range 0 to 2pi

    the minima will tell you about the small loop, find the value of theta for which f(theta) = 0 preceding and succeding the minima

    those are your limits
     
  4. Jan 24, 2010 #3

    HallsofIvy

    User Avatar
    Science Advisor

    Here's what I did- use a graphing calculator, set to "polar" mode, and play with the window.
     
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