$\displaystyle \int{\frac{(1-x^2)^{3/2}}{x^2}}$

After my Trig sub , i get $\displaystyle \frac{1}{x}+2arccos(x)-\frac{x^3}{3}+C $

when i differentiate that, i do not get my initial integral which is a problem , can someone do this integral step by step please