Indefinite Integration

\(-\frac{x}{2}(\sin (\log x)-\cos (\log x))+\mathrm{c}\), where c is a constant of integration.

\(\frac{x}{2}(\sin (\log x)-\cos (\log x))+\mathrm{c}\), where c is a constant of integration.

\(\frac{x}{2}(\sin (\log x)+\cos (\log x))+\mathrm{c}\), where c is a constant of integration.

\(-\frac{x}{2}(\sin (\log x)+\cos (\log x))+c\), where c is a constant of integration.