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.

I integrated this from 3 to 4... but it's wrong. Does anyone want to point out what I did wrong?

Question

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. 

I integrated this from 3 to 4... but it's wrong. Does anyone want to point out what I did wrong?

anonymous · Answer

From 3rd to 4th week = 1 week

anonymous · Answer

actually, begin of 3rd to the end of 4th = 2 wks

anonymous · Answer

so i should instead integrate it from 2 to 4?

anonymous · Answer

opps or 1 to 2 instead....