We know that $(a+b)^2 = a^2 + 2ab + b^2$. Using this formula, we can expand $(1+\tan \theta)^{2}$ as $1^2 + 2*1*\tan \theta + (\tan \theta)^2$ which simplifies to $1 + 2\tan \theta + \tan^2 \theta$.
So, the integral becomes:
$$
\int(1+2\tan \theta + \tan^2
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