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
.