\( \displaystyle \lim_{x\to\frac{\pi}{2}} \left( \dfrac{\displaystyle\int_{x^{3}}^{\left({x}/{2}\right)^{3}} \left(\sin\!\left(2t^{1/3}\right)+\cos\!\left(t^{1/3}\right)\right)\\,dt}{\left(x-\frac{\pi}{2}\right)^{2}} \right) \) is equal to
\( \dfrac{5\pi^{2}}{9} \)
\( \dfrac{11\pi^{2}}{10} \)
\( \dfrac{3\pi^{2}}{2} \)
\( \dfrac{9\pi^{2}}{8} \)
