The integral is
.
Find the area between the graph of function and the
-axis.
Area of the function is
.
Where
and
.
Where
is the number of subintervals.
Substitute
in
.

.
Substitute
and
in
.
.
Area of the function is
.
Substitute
and
.


Apply summation formulas:
and
.








The cost of the production is
.
Graph the region:
\
.
The cost of the production is
.
The cost of the production is
.