Answer
$128$
Work Step by Step
We have
$$\int_{0}^{2}\left(12 x^5+3x^2-4 x\right) d x=\frac{12x^6}{6}+\frac{3x^3}{3}-\frac{4x^2}{2}|_0^2\\
=128+8-8=128.$$
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