Indefinite Integration

$\tan \left(1+\log \tan \frac{x}{2}\right)+\mathrm{c}$, where c is a constant of integration.

$\frac{1}{2} \tan \left(1+\log \tan \frac{x}{2}\right)+\mathrm{c}$, where c is a constant of integration.

$2 \tan \left(1+\log \tan \frac{x}{2}\right)+\mathrm{c}$, where c is a constant of integration.

$\frac{1}{4} \tan \left(1+\log \tan \frac{x}{2}\right)+\mathrm{c}$, where c is a constant of integration.