Work problem pulling chain up a wall?

[apiwowar]

A 10-ft chain weighs 24 lb and hangs from a ceiling. Find the work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end.

since you just take a little piece and add them up through an integral

wouldnt it be the integral from 0 to 10 of 2.4x

then to evaluate it you would get 1.2x^2 from o to 10

and get 120 ft-lb as your answer?

is that right or did i mess up somewhere?

 

[apiwowar]

disregard this question. i read the question more carefully and figured out that it is only half the distance not the whole 10 feet