Evaluate the following integral using trigonometric substitution.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dx}{(144+x^2{)}^{\frac{3}{2}}}$

What substitution will be the most helpful for evaluating this integra

A$.x=12sin$

B$.x=12sec$

C$.x=12tan$

Rewrite the given integral using this substitution.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dx}{(144+x^2{)}^{\frac{3}{2}}}={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}()d$

$($Type an exact answer.$)$