Answer to Question #7258 in Calculus for LeighAnne Manwiller

Question

A carpet which is 8 meters long is completely rolled up. When x meters have been unrolled, the force required to unroll it further is
f(x)= 600/((x+2)^2)

How much work is done unrolling the entire carpet? Your answer must include the correct units.

Answer 1

Let's integrate the given force to calculate the work:

A = int(from 0 to 8)[600/((x+2)^2)]dx = [-600/(x+2)] (from 0 to 8) = 240 J.