4. We want to determine the area of the region in the xy-plane that lies inside the curve r = 2 + cos(20), and outside of the curve r = 2 + sin (0). (a) Sketch these curves together in the xy-plane, and then shade the bounded region indicated. (b) Set up a definite integral in terms of a single variable, including limits, whose value gives the area of this region. (c) Calculate the value of this definite integral by first integrating by hand, showing each step, and then evaluating at the limits using the Fundamental Theorem of Calculus (rather than just using a calculator).

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