<p>Hi,</p>
<p>When finding an area bounded by two polar curves, you first find points of intersection of two polar curves. After this, you need to integrate each polar curve to find separate areas in the bounded area. But how do you determine which polar curve gets integrated with which integral boundaries?</p>
<p>Thanks.</p>
<p>you have to see which curve is setting up the bound for that portion of area. like, take the boundary of your area, and split it at the points where the two shapes intersect. from one point to another, just integrate w/ one of the shapes, then integrate with the other shapes.</p>
<p>note, this doesn't work ALL the time, for every shape. sometimes you do have to do the whole 1/2 int(Rout^2 - Rin^2) d(theta) crap. it' s a pain, but knowing both ways will optimize your points.</p>