Choose the correct answer in the value of $\displaystyle\int\limits_\frac{\Large -\pi}{\Large 2}^\frac{\Large \pi}{\Large 2}(x^3+x\cos x+\tan^5x+1)dx$ is

Question

$(a)\;0\qquad(b)\;2\qquad(c)\;\pi\qquad(d)\;1$