$\"\"$

\

The function is $\"\"$ .

\

The volume of the curve about $\"\"$ -axis is $\"\"$ cubic units.

\

$\"\"$

\

The radius of the curve is $\"\"$ .

\

The height of the curve is $\"\"$ .

\

Integrate with $\"\"$ to $\"\"$ .

\

Shell method: $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Assume $\"\"$ .

\

Differentiate on each side with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Power rule of integral: $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

\

The volume of the curve about $\"\"$ -axis is $\"\"$ cubic-units.

\

$\"\"$

\

The volume of the curve about $\"\"$ -axis is $\"\"$ cubic-units.