$\int \frac{e^x(1+x)}{\cos ^2\left(x e^x\right)} d x$ is equal to:

$\cot \left(e^x\right)+c$, where c is a constant $\tan \left(x e^x\right)+c$, where c is a constant $\cot \left(x e^{x}\right)+c$, where c is a constant $\tan \left\{e^x(1+x)\right\}+c$, where c is a constant

$\tan \left(x e^x\right)+c$, where c is a constant

The correct answer is Option (2) → $\tan \left(x e^x\right)+c$, where c is a constant