Evaluate: \( \mathrm{P} \) \[ \int_{0}^{1} \frac{x \tan ^{-1} x}{\left(1+x^{2}\right)^{3 / 2}} d...

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Evaluate:
\( \mathrm{P} \)
\[
\int_{0}^{1} \frac{x \tan ^{-1} x}{\left(1+x^{2}\right)^{3 / 2}} d x
\]
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