Integral over symmetric limits of a polynomial divided by (x^2 + a^2): keep the even part

1. A.
   $\frac{4}{5}$
2. B.
   $\frac{5}{4}$
3. C.
   $\frac{4}{3}$
4. D.
   $\frac{3}{4}$

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1. A.
   $\dfrac{162}{7} + \sqrt{3}\dfrac{\pi}{4}$
2. B.
   $\dfrac{162\sqrt{3}}{7} + \sqrt{3}\dfrac{\pi}{2}$
3. C.
   $\dfrac{162\sqrt{3}}{7} + \dfrac{\pi}{2}$
4. D.
   $\dfrac{162\sqrt{3}}{7} - \dfrac{\pi}{2}$

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