$(6)$Evaluate the following integrals.

$($a$)1(4-$x$2)32$dx

$($b$)0$$2$cos$4$xsin$5$xdx

$($c$)$x$2-$x$($x$+1)($x$+4)2$dx

$($d$)$x$3$x$2+4$dx

$($e$)2$sin$-1$xdx