Answer
$0$
Work Step by Step
We have
$$\int_{-2}^{2}\left(10x^9+3x^5\right) d x=\frac{10x^{10}}{10}+\frac{3x^6}{6}|_{-2}^2\\
=2^{10}+2^5-2^{10}-2^5=0.$$
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