Area Bounded By Polar Curves

Question

What is the area of the region bounded by the polar curves r = 3\cos(2θ) and r = 2 for 0 ≤ θ ≤ π/4?

Accepted Answer

$$\frac{1}{4}\arccos\!\left(\frac{2}{3}\right) + \frac{\sqrt{5}}{2} - \frac{\pi}{16}$$

Answer

$$2\pi - 3$$

Answer

$$\frac{\pi}{2} - \frac{3}{4}$$

Answer

$$\frac{\pi}{4} - \frac{3}{8}$$

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