JEE Math Practice Question

$$\lim \limits_{x \rightarrow \frac{\pi}{2}}\left(\frac{\int_{x^3}^{(\pi / 2)^3}\left(\sin \left(2 t^{1 / 3}\right)+\cos \left(t^{1 / 3}\right)\right) d t}{\left(x-\frac{\pi}{2}\right)^2}\right)$$ is equal to

1. A.$$\frac{3 \pi^2}{2}$$
2. B.$$\frac{9 \pi^2}{8}$$
3. C.$$\frac{5 \pi^2}{9}$$
4. D.$$\frac{11 \pi^2}{10}$$