Question

Solve : $\int x^2(1-\frac{1}{x^2})dx$

Answer 1

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

$=\int (x^2-1)dx$

$=\frac{x^{2+1}}{2+1}-x+C$

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

where $C$ is constant.