Evaluate \(\mathop \smallint \limits_0^1 \mathop \smallint \limits_x^{\sqrt x } \left( {{x^2} + {y^2}} \right)dx\;dy\)

1
\(\frac{3}{{35}}\)
2
\(\frac{1}{{35}}\)
3
\(\frac{2}{{35}}\)
4
\(\frac{4}{{35}}\)

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