(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.