The volume is .
Integration by parts formula : .
Let then
.
Let then
.
If the function then its inverse is
Since and
are inverse function, then
.
Observe the diagram and
.
If then
.
If then
.
.
Substitute the corresponding values in equation (1).
\.
Consider .
Let then
.
Let then
.
Substitute the corresponding values in equation (3).
\Substitute equation (4) in equation (2).
\.
.