of the region inside r^2 = 4 sin 2theta and outside r = sqrt(2)
I've sketched it out, but it just made me angrier. How would i go about setting up an equation for this type of problem?
You first want to find where the two curves intersect. If and , these two curves intersect at and .
The formula you want to use is
Plugging in gives you
i guess i graphed this out wrong, so i'm not seeing why i have to calculate four areas and not just two. isn't the first curve a lemniscate with a 45 degree tilt, and the second one just a circle, making it only two areas i have to calculate for the area?