An oil tanker is leaking oil at a rate given in barrels per hour by the function shown below, where $t$ is the time in hours after the tanker hits a hidden rock $($when $t=0).$ Complete parts $($a$)$ through $($c$).$

$L^{\text{'}}(t)=\frac{64ln(t+1)}{t+1}$

$($a$)$ Find the total number of barrels that the ship will leak on the first day.

$($Round to the nearest whole number as needed.$)$