Prove
Question:

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

Solution:

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

$=\int\left(x^{2}-1\right) d x$

$=\int x^{2} d x-\int 1 d x$

$=\frac{x^{3}}{3}-x+\mathrm{C}$

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