Indefinite Integration

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

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

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

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