Indefinite Integration

$\frac{-1}{\operatorname{sina}} \log (\sin (x-\mathrm{a}) \sin x)+\mathrm{c}$, where c is a constant of integration.

$\frac{1}{\sin \mathrm{a}} \log (\sin (x-\mathrm{a}) \sin x)+\mathrm{c}$, where c is a constant of integration.

$\frac{1}{\operatorname{sina}} \log (\sin (x-a) \cdot \operatorname{cosec} x)+c$, where c is a constant of integration.

$\frac{-1}{\operatorname{sina}} \log (\operatorname{cosec}(x-\mathrm{a}) \cdot \sin x)+\mathrm{c}$, where c is a constant of integration.