Use the rules for definite$$ integration,

Integral from a to b c dx equals c left parenthesis b minus a right parenthesis$$abc$$dx$=$c$($b$$a$),$

and

Integral from a to b x dx equals StartFraction b squared Over $2$ EndFraction minus StartFraction a squared Over $2$ EndFraction$$abx$$dx$=$b$22$a$22$

to evaluate

Integral from $3$ to $2$ left parenthesis $4$ plus StartFraction z Over $6$ EndFraction right parenthesis dz$324+$z$6$dz$.$

Question content area bottom

Part $1$

Integral from $3$ to $2$ left parenthesis $4$ plus StartFraction z Over $6$ EndFraction right parenthesis dz$324+$z$6$dzequals$=$enter your response here

$($Type an integer or a simplified$$ fraction.$)$