The capitalized cost is
.
Here
,
and
.
(a)
\Find the capitalized cost for
years.
Substitute
,
and
and
in
.

Consider
.


Solve the integral
by using integration by parts.
Formula for integration by parts :
.
Here
and
.
Consider
.
Apply derivative on each side with respect to
.

.
Consider
.
Integrate on each side.
\
.
Substitute corresponding values.
\





Substitute
.






Therefore, the capitalized cost for
years is
.
(b)
\The capitalized cost is
.
Find the capitalized cost for
years.
Substitute
,
and
and
in
.
.
Substitute 






Therefore, the capitalized cost for
years is
.
(c)
\The capitalized cost is
.
Find the capitalized cost for forever.
\Substitute
,
,
and
in
.

Substitute
.





Therefore, the capitalized cost for forever is
.
(a) The capitalized cost for
years is
.
(b) The capitalized cost for
years is
.
(c) The capitalized cost for forever is
.