$(27)$ Write the definite integral that would give the volume generated by rotating the given area about the specified line

$($a$)A_2$ about $y=0$

$($f$)A_2$ about $x=0$

$(0,1)$

$($b$)A_2$ about $y=1$

$($g$)A_2$ about $x=1$

$($c$)A_2$ about $y=2$

$($h$)A_2$ about $x=2$

$($d$)A_1$ about $y=0$

$($i$)A_1$ about $x=0$

$($e$)A_3$ about $y=1$

$($j$)A_3$ about $x=1$