Let $u = x^2$ and $dv = x(x^2 - 2)^{4/2} dx$. Then, $du = 2x dx$ and $v = \int x(x^2 - 2)^{4/2} dx$.
Create a table with alternating signs, derivatives of $u$, and antiderivatives of $dv$:
| Sign | $u$ and its derivatives | $dv$ and its antiderivatives
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