Indefinite Integration

$-\frac{x}{2}+\frac{\sqrt{3}}{2} \log \left|\sin \left(x-\frac{\pi}{3}\right)\right|+C$

$\frac{x}{2}+\frac{\sqrt{3}}{2} \log \left|\sin \left(x-\frac{\pi}{3}\right)\right|+C$

$-\frac{x}{2}-\frac{\sqrt{3}}{2} \log \left[\sin \left(x-\frac{\pi}{3}\right)\right]+C$

$\frac{x}{2}-\frac{\sqrt{3}}{2} \log \left|\sin \left(x-\frac{\pi}{3}\right)\right|+C$