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

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