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 .