The value of $ \int \frac{e^{x(1+x)}\, dx}{\cos^{2}\left(e^{x^{x}}\right)} $ is equal to

Question

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

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

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

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

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