The curve is and the boundaries are
and
.
The area under the curve is .
.
Evaluate at
.
Consider .
Substitute in
.
.
Evaluate at
.
Consider .
Substitute in
.
.
Evaluate at
.
Consider .
Substitute in
.
.
Find the total area under the curve for
.
The total area under the curve for
:
.
Thus, the total area under the curve for
is
.
.
,
, and
.
The total area under the curve for
is
.