\"\"

\

length of the chain is \"\" ft.

\

Weight of the chain is \"\" lb.

\

Weight of the chain per unit length is \"\" lb/ft.

\

If a small pice of chain is at a height \"\", it moves from \"\" to \"\" then 

\

Distance function is \"\" ft.

\

Work done as a Riemann sum is  \"\".

\

\"\"

\

\"\"

\

\"\" lb-ft.

\

\"\"

\

Work done required to lift the chain is \"\" lb-ft.