APFIVE Area Between Polar Curves
For curves $$r = 2 + \sin\theta$$ and $$r = 3\cos\theta$$, what is the integral setup to find the area between them?
A
$$\frac{1}{2} \int (9\cos^2\theta - (2+\sin\theta)^2) \, d\theta$$
B
$$\int (3\cos\theta - (2+\sin\theta)) \, d\theta$$
C
$$\frac{1}{2} \int ((2+\sin\theta)^2 - 9\cos^2\theta) \, d\theta$$
D
$$\int ((2+\sin\theta) - 3\cos\theta) \, d\theta$$
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