Mathematical Science Integral Calculus Surface Area and Volume

The area of the portion of the surface z = x2 - y2 in R3 which lies inside the solid cylinder x2 + y2 ≤ 1 is

1
\(\frac{2 \pi}{3}(5 \sqrt{5}-1)\)
2
\(\frac{ \pi}{8}(5 \sqrt{5}-1)\)
3
\(\frac{ \pi}{6}(5 \sqrt{5}-1)\)
4
\(\frac{\pi}{12}(5 \sqrt{5}-1)\)

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