$\int x^{2} (1 - \frac{1}{x^{2}}) d x$

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Solution

$I = x^{2} (1 - \frac{1}{x^{2}}) d x$
$= \int (x^{2} - 1) d x$
$= \frac{x^{3}}{3} - x + c$ .

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