$\displaystyle \int _ {0} ^ {2} {\frac{4x+8} {\left (x^2 + 4 \right) ^2}} dx$ 의 값은?

• ①$\displaystyle \frac{\pi} {8} + \frac{1} {4}$
• ②$\displaystyle \frac{\pi} {8} + \frac{1} {2}$
• ③$\displaystyle \frac{\pi} {8} +1$
• ④$\displaystyle \frac{\pi} {4} + \frac{1} {2}$
• ⑤$\displaystyle \frac{\pi} {4} +1$