적분 $\displaystyle \int _ {0} ^ {1} \frac{{\left (x + 2 \right) ^ {2}} + 3 e ^ {x} - 4} {e ^ {x} + x ^ {2}} d x$ 의 값은?

• ①$2 + 2 \ln \left (e + 1 \right)$
• ②$2 + \ln \left (e + 2 \right)$
• ③$2 + 2 \ln \left (e + 2 \right)$
• ④$1 + \ln \left (e + 2 \right)$
• ⑤$1 + 2 \ln \left (e + 1 \right)$