Indefinite Integration

\(-\cot \left(\mathrm{e}^x\right)+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.

\(\tan \left(x \cdot \mathrm{e}^x\right)+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.

\(\tan \left(\mathrm{e}^x\right)+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.

\(-\cot \left(x \cdot \mathrm{e}^x\right)+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.