Question

Find the following integrals.
$\int x^2(1-\frac{1}{x^2})dx.$

Answer 1

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