Integral of $$$- \frac{\pi \left(444 \pi x - \sin{\left(\frac{\pi \left|{x}\right|}{6} \right)}\right)}{6} + \frac{\pi}{6}$$$

The calculator will find the integral/antiderivative of $$$- \frac{\pi \left(444 \pi x - \sin{\left(\frac{\pi \left|{x}\right|}{6} \right)}\right)}{6} + \frac{\pi}{6}$$$, with steps shown.

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Find $$$\int \left(- \frac{\pi \left(444 \pi x - \sin{\left(\frac{\pi \left|{x}\right|}{6} \right)}\right)}{6} + \frac{\pi}{6}\right)\, dx$$$.