$\"\"$

The function is $\"\"$ .

$\"\"$

The volume of the solid of revolution is $\"\"$ .

From the graph, $\"\"$ and $\"\"$ .

Substitute the formula in $\"\"$ .

$\"\"$

Therefore, the integral that gives the volume of the solid formed by revolving the region about the $\"\"$ -axis is $\"\"$ .

$\"\"$

The integral that gives the volume of the solid formed by revolving the region about the $\"\"$ -axis is $\"\"$ .