Question #4 (medium): area between two polar curves. First the point of intersection need to be set for by setting the two polar equations equal to each other. Then the integral can be simplified based on symmetry, etc. The area is to be inside the first function, and outside the second function, thus the expression inside the integral for the area is. Find the area of the region that lies inside the first polar curve and outside the second polar curve. The point of intersection between these two polar equations can be obtained by setting them equal to each other: ; group cosine together: ; then. Then the two polar equations can be considered as the one on the right side and one on the left. Since the area is to be inside the first and outside the second, is the right side graph enclosing the region, and the left side graph of is to be subtracted from it.
