The area of the region $\{(x, y): x^2 \leq y \leq |x^2 - 4|, y \geq 1\}$ is (1) $\frac{4(\sqrt{5}-1)}{3} + 4$ (2) $\frac{4(\sqrt{5}-1)}{3} + 2$ (3) $\frac{2(\sqrt{5}-1)}{3} + 4$ (4) $\frac{2(\sqrt{5}-1)}{3} + 2$
The area of the region $\{(x, y): x^2 \leq y \leq |x^2 - 4|, y \geq 1\}$ is\\
(1) $\frac{4(\sqrt{5}-1)}{3} + 4$\\
(2) $\frac{4(\sqrt{5}-1)}{3} + 2$\\
(3) $\frac{2(\sqrt{5}-1)}{3} + 4$\\
(4) $\frac{2(\sqrt{5}-1)}{3} + 2$