(a)
\The functions are
and
.
Draw a coordinate plane.
\Graph the function
in the viewing rectangle
by
.
Graph :
\
Draw a coordinate plane.
\Graph the function
in the viewing rectangle
by
.
Graph :
\
Draw a coordinate plane.
\Graph the function
in the viewing rectangle
by
.
Graph :
\
Draw a coordinate plane.
\Graph the function
in the viewing rectangle
by
.
Graph :
\
(b)
\The area under the curve
from
to
is
.

.
Evaluate
at
.
Consider
.
Substitute
in
.

.
Evaluate
at
.
Consider
.
Substitute
in
.

.
Evaluate
at
.
Consider
.
Substitute
in
.

.
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
:
.
The area under the curve
from
to
is
.

.
Evaluate
at
.
Consider
.
Substitute
in
.

.
Evaluate
at
.
Consider
.
Substitute
in
.

.
Evaluate
at
.
Consider
.
Substitute
in
.

.
Evaluate
at
.
Consider
.
Substitute
in
.

.
Evaluate
at
.
Consider
.
Substitute
in
.

.
Evaluate
at
.
Consider
.
Substitute
in
.

.
(c)
\Find the total area under the curve
for
.
The total area under the curve
for
:
.

Thus, the total area under the curve
for
is
.
Find the total area under the curve
for
.
The total area under the curve
for
:
.

Therefore, the total area under the curve
for
is does not exist.
(a)
\Graphs :
\


(b)
\The area under the curve
from
to
is
.
,
,
,
,
,
.
The area under the curve
from
to
is
.
,
,
,
,
,
.
(c)
\The total area under the curve
for
is
.
The total area under the curve
for
isdoes not exist.