Find the area inside the lemniscate ,which is described by the equation (x^2 + y^2) = 2a^2 (x^2 - y^2)(adsbygoogle = window.adsbygoogle || []).push({});

I have no idea where to start so I found out what a lemniscate is.. but this didn't help me much. I have rearranged the equation for a:

a = sqrt ( (x^2 + y^2)^2 / 2(x^2 - y^2) )

a = x^2 + y^2 / sqrt (2(x^2 - y^2))

How do I proceed from here?

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# Area Inside Lemniscate Vector Calculus

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