\(\ \int \frac{\mathrm{e}^{\mathrm{x}}(1+\mathrm{x})}{\cos ^2\left(\mathrm{e}^x x\right)} \mathbf{d x} \) equals

\(\ -\cot \left(e x^x\right)+C \)

\(\ \tan \left(x e^x\right)+C \)

\(\ \tan \left(\mathrm{e}^{\mathrm{x}}\right)+C \)

\(\ \cot \left(\mathrm{e}^{\mathrm{x}}\right)+C \)