follows.

$\backslash$int$\_0^(\backslash$infty $)$ r$($x$)$dx$=\backslash$int$\_0^$c f$($x$)$dx$+\backslash$int$\_0^(\backslash$infty $)$ f$($x$)$dx$,$c$>2$

Evaluate the following integral if it is comvergent. $($If the quantity diverges, enter DIVERCES.$)$

$\backslash$int$\_0^$n $(5)/(\backslash$sqrt$($x$)(1+$n$))$dx