Evaluate the indefinite integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{ln(co{s}^{-1}(x))dx}{10(co{s}^{-1}(x))\sqrt[\phantom{2}]{1-x^2}}$

$($Express numbers in exact form. Use symbolic notation and fractions where needed. Use $C$ for the arbitrary constant. Absorb into $C$ as much as possible.$)$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{ln(co{s}^{-1}(x))dx}{10(co{s}^{-1}(x))\sqrt[\phantom{2}]{1-x^2}}=$