$\int \frac{e^{x}(1+x)}{\cos ^{2}\left(x e^{x}\right)} d x=f(x)+c ; f(x)=?$

$\sin \left(x e^{x}\right)$

$\tan \left(\mathrm{xe}^{\mathrm{x}}\right)$

$\cot \left(x e^{x}\right)$

$\sec \left(x e^{x}\right)$