Indefinite Integration

If \(\int \frac{\sqrt{1-x^2}}{x^4} \mathrm{~d} x=\mathrm{A}(x)\left(\sqrt{1-x^2}\right)^{\mathrm{m}}+\mathrm{c}\) for a suitable chosen integer \(\mathrm{m}\) and a function \(\mathrm{A}(x)\), where \(\mathrm{c}\) is a constant of integration, then \((\mathrm{A}(x))^{\mathrm{m}}\) equals