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Area between two polar curves

AP.CALC: CHA‑5 (EU), CHA‑5.D (LO), CHA‑5.D.1 (EK), CHA‑5.D.2 (EK)

Problem

Let R be the region in the first and second quadrants that is inside the polar curve r, equals, 3 and inside the polar curve r, equals, 2, plus, 2, cosine, left parenthesis, theta, right parenthesis, as shown in the graph. The curves intersect at theta, equals, start fraction, pi, divided by, 3, end fraction.
Which integral represents the area of R?
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