적분 $\displaystyle \int _ {-4} ^ {-2 \sqrt {2}} {} \frac{dx} {\left (\sqrt {x ^ {2} -4} \right) ^ {3}}$ 의 값은?

• ①$\displaystyle \frac{\sqrt{3}} {4} + \frac{\sqrt{2}} {6}$
• ②$\displaystyle \frac{- \sqrt{3}} {4} + \frac{\sqrt{2}} {6}$
• ③$\displaystyle \frac{\sqrt{3}} {4} - \frac{\sqrt{2}} {6}$
• ④$\displaystyle \frac{\sqrt{2}} {4} - \frac{\sqrt{3}} {6}$
• ⑤$\displaystyle \frac{- \sqrt{2}} {4} + \frac{\sqrt{3}} {6}$