[SOLVED] Area of one loop of a lemniscate

**Ife** · May 5th 2010, 09:12 PM

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 $r^2= 8 cos 2 \theta$

**matheagle** · May 5th 2010, 09:44 PM

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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