Evaluate: \( \int \frac{x d x}{\left(1+x^{2}+\sqrt{\left(1+x^{2}\right)^{3}}\right.} \)

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Evaluate: \( \int \frac{x d x}{\left(1+x^{2}+\sqrt{\left(1+x^{2}\right)^{3}}\right.} \)
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