곡면 $z=x ^ {2} -y ^ {2} +1, 0 \leq y \leq x, x ^ {2} +y ^ {2} \leq 3$ 의 넓이는?

• ①$\displaystyle \frac{π} {48} \left (13 \sqrt {13} - 1 \right)$
• ②$\displaystyle \frac{π} {48} \left (13 \sqrt {13} + 1 \right)$
• ③$\displaystyle \frac{π} {24} \left (15 \sqrt {15} - 1 \right)$
• ④$\displaystyle \frac{π} {24} \left (15 \sqrt {15} + 1 \right)$
• ⑤$\displaystyle \frac{π} {12} \left (17 \sqrt {17} - 1 \right)$