JEE Math Practice Question

$$\int\limits_{ - {{3\pi } \over 2}}^{ - {\pi \over 2}} {\left[ {{{\left( {x + \pi } \right)}^3} + {{\cos }^2}\left( {x + 3\pi } \right)} \right]} dx$$ is equal to

1. A.$${{{\pi ^4}} \over {32}}$$
2. B.$${{{\pi ^4}} \over {32}} + {\pi \over 2}$$
3. C.$${\pi \over 2}$$
4. D.$${\pi \over 4} - 1$$