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

1. ## [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 $r^2= 8 cos 2 \theta$

2. One loop is from $-\pi/4$ to $\pi/4$
But I'd just integrate from 0 to $\pi/4$ and double that.