Calculus Problem!!Help!!

Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calculators after t weeks is
dx/dt=5000(1−100/(t+10)^2) calculators/week.
(Notice that the production approaches 5000 per week as time goes on, but the initial production is lower because of the workers' unfamiliarity with the new techniques.)

Find the number of calculators produced from the beginning of the third week to the end of the fourth week.

Question

Calculus Problem!!Help!!

Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calculators after t weeks is 
dx/dt=5000(1−100/(t+10)^2) calculators/week.
(Notice that the production approaches 5000 per week as time goes on, but the initial production is lower because of the workers' unfamiliarity with the new techniques.)

Find the number of calculators produced from the beginning of the third week to the end of the fourth week.

anonymous · Answer

If, for instance, you had a toy car whose velocity was modelled as a function of time, integrating that velocity from 0 to 1 would give you the total distance traveled within the time interval from 0 to 1. The same principle applies here. How would you find the total number of calculators produced in this time interval?

The trick here, I think, is to notice that the beginning of the third week has a time of 3, but the end of the fourth week has a time of 5 (draw it on a simple number line, if it's not obvious).