The value of $\int_{-\pi/6}^{\pi/6} \left(\frac{\pi + 4x^{11}}{1 - \sin(|x| + \frac{\pi}{6})}\right)dx$ is equal to (A) $8\pi$ (B) $7\pi$ (C) $5\pi$ (D) $4\pi$
The value of $\int_{-\pi/6}^{\pi/6} \left(\frac{\pi + 4x^{11}}{1 - \sin(|x| + \frac{\pi}{6})}\right)dx$ is equal to
(A) $8\pi$
(B) $7\pi$
(C) $5\pi$
(D) $4\pi$