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Math Help - polar integration 1

  1. #1
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    polar integration 1

    integrate f(x,y)=1/((1+x^2+y^2))^2 over the region enclosed by one loop of the leminisciate r^2=cos2(theta)

    here i know it has to be converted into polar coordinates
    what would be the limits
    as i dont know the grapho of r^2=cos2(theta)
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  2. #2
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    Re: polar integration 1

    The graph of your lemniscate looks like the symbol for infinity.

    The equation has no solutions where \cos{2\theta} is negative; the two loops are formed from the two intervals where \cos{2\theta} is positive.

    - Hollywood
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