Polar Calculus Help Needed

I have a graph of a polar function, r=1-2cos(theta). The graph produces a limacon. I had no problem graphing it, but I'm a bit confused as to how to find the area. The area I need to find is the area within the larger, outer loop and outside the smaller, inner loop. The inner loop isnt really a loop at all, more of an ellipse, so I cant treat it as a circle of known radius and subtract the two functions within the integral. I'm confused because of the loop inside of the loop. Usually, this would happen with two seperate functions and it would just be a matter of subtracting the two areas. Intuition would tell me to integrate from 0 to 2pi for the area, but for some reason I'm not sure if this will work. :confused:

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