Indefinite Integration

$\quad \log \left(\mathrm{e}^{\mathrm{x}}-1\right)+x+\mathrm{c}$, where c is the constant of integration.

$\quad \log \left(\mathrm{e}^{\mathrm{x}}-1\right)-x+\mathrm{c}$, where c is the constant of integration.

$\quad x-\log \left(\mathrm{e}^x-1\right)+\mathrm{c}$, where c is the constant of integration.

$\log \left(\mathrm{e}^{\mathrm{x}}-1\right)-x \mathrm{e}^{\mathrm{x}}+\mathrm{c}$, where c is the constant of integration.