Indefinite Integration

$(\log 5 \sin \theta-2)+\mathrm{c}$, where c is the constant of integration

$5 \log (5 \sin \theta-2)-\frac{8}{(\sin \theta-2)}+\mathrm{c}$, where c is the constant of integration

$\log (5 \sin \theta-2)+\frac{8}{(\sin \theta-2)}+c$, where $c$ is the constant of integration

$\log (5 \sin \theta-2)+\frac{1}{(\sin \theta-2)}+c$, where $c$ is the constant of integration