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Math Help - [SOLVED] Area of one loop of a lemniscate

  1. #1
    Ife
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    [SOLVED] Area of one loop of a lemniscate

    I am having trouble determining the limits for the integral of the following equation of a lemniscate. As far as i can determine, the shape is not whole, and I am getting confused where the 4th quadrant is concerned, especially.

    The area to be determined is this: one loop of the lemniscate r^2= 8 cos 2 \theta
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  2. #2
    MHF Contributor matheagle's Avatar
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    One loop is from -\pi/4 to \pi/4
    But I'd just integrate from 0 to \pi/4 and double that.
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