Evaluate \( \int \) \( \int \frac{\left(\sqrt[3]{x+\sqrt{2-x^{2}}}\right)\left(\sqrt[6]{1-x \sqr...

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Evaluate \( \int \)
\( \int \frac{\left(\sqrt[3]{x+\sqrt{2-x^{2}}}\right)\left(\sqrt[6]{1-x \sqrt{2-x^{2}}}\right) d x}{\sqrt[3]{1-x^{2}}} ; x \in(0,1): \)
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