Find the antiderivative/primitive/integrals of the \( \mathrm{P} \)...

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Find the antiderivative/primitive/integrals of the
\( \mathrm{P} \) following by simple manipulation/simplifying.

W
\[
\int \frac{\left(x^{2}+\sin ^{2} x\right) \sec ^{2} x}{1+x^{2}} d x
\]
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