1. The problem statement, all variables and given/known data Find the area of the right leaf of the Lemniscate of Gerono (the ∞ sign, see figure below) parametrized by r(t)= <sin(t), sin(t)cos(t)> from 0=<t=<pi Picture is uploaded. 2. Relevant equations Green's theorem: integral of fdx+gdy = double integral (over the region) of (gx-fy) dA Green's theorem used to compute the area of R = double integral (over the region R) of 1dA 3. The attempt at a solution 1. First, I found the curl, I let g=x and f=0 to make the curl (gx-fy) =1. So now this is in Green's Theorem area form. 2. Now I need to find the bounds of integration. I am stuck here and not entirely sure what to do. Any guidance on how to proceed?