$(10$ points$)$ Make an appropriate trigonometric substitution to rewrite the indefinite integral ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{\sqrt[\phantom{2}]{x^2-4}}{x^3}$ in terms of $.$ Select the resulting integral $($in terms of $)$ and show your work in the space below $($your work will be graded$).($Write the letter in the box.$)$