The integral \(\mathop \smallint \limits_0^1 \mathop \smallint \limits_0^{{x^2}} \left( {{x^2} + {y^2}} \right)dy\;dx\) equals to

1
\(\frac{{26}}{{105}}\)
2
\(\frac{4}{{105}}\)
3
\(\frac{{12}}{{105}}\)
4
\(\frac{{16}}{{105}}\)

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