I am asked to solve the region R bounded inside of r = 1+cos(4theta) and outside r = 2. Now I know I need to find the points of intersections, by equaling both equations. So I find theta to be pi/32, 3pi/32, etc. First equation is, does it make sense? I mean I have drawn the graph of both:
Hum sorry, picture is rotated counter-clock wise. 0 is at the top. Anyhow, does it make sense that the first point of intersection hits at pi/32? and second, is it a legit move, to take the integral from o to pi/32, and by symmetry, multiply it by 8 to get the area of all the "petals", since my area I blacked is symmetric to the other side.