# Answer to Question #7258 in Calculus for LeighAnne Manwiller

Question #7258

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.

f(x)= 600/((x+2)^2)

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

Expert's answer

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.

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

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