Evaluate: \( \mathrm{P} \) \[ \int_{0}^{1} x \cos \left(\tan ^{-1} x\right) d x \] W

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Evaluate:
\( \mathrm{P} \)
\[
\int_{0}^{1} x \cos \left(\tan ^{-1} x\right) d x
\]
W
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