${\displaystyle \underset{n=6}{\overset{}{}}}\frac{8}{n+6}$

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A$.$ The series converges because the conditions of the Integral Test are satisfied and ${\displaystyle \underset{6}{\overset{}{}}}\frac{8}{x+6}dx=$

$($Type an exact answer.$)$

B$.$ The series diverges because the conditions of the Integral Test are satisfied and ${\displaystyle \underset{6}{\overset{}{}}}\frac{8}{x+6}dx=$

$($Type an exact answer.$)$

C$.$ The Integral Test cannot be used since one or more of the conditions for the Integral Test is not sat