Find the integral: x^ 2 (1-1 x^ 2 ) d x - Vidyadip

Question

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

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Answer

$\int x^{2}\left(1-\frac{1}{x^{2}}\right) d x$
= $\int\left(x^{2}-1\right) d x$
= $\int x^{2} d x-\int 1 d x$
= $\frac{x^{3}}{3}-x+C$

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