Find the indefinite integral for the function

$$

$4$cos$3($t$)$dt$4$cos$3$tdt

$$

using the substitution u$=$sin$($t$)$u$=$sint$,($Hint: cos$2$t$=1$sin$2$tcos$2$t$=1$sin$2$t$).$

$$

$4$cos$3($t$)$dt$=$