A carpet which is 5 meters long is completely rolled up. When x meters have been unrolled, the force required to unroll it further is F(x)=900/(x+1)^4 Newtons. How much work is done unrolling the entire carpet?

Question

anonymous · Answer

I think an integration from x=0 to x=5 is required.

anonymous · Answer

Although I'm not sure how to convert from force to work in this case.

anonymous · Answer

work = F.s

anonymous · Answer

$$\int_0^5\frac{900}{(x+1)^4}dx$$
I would imagine the substitution method would work best here.

anonymous · Answer

won't i get a negative answer there?

anonymous · Answer

I believe you would, yes.