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**Hard intergration problem!!**

**1. A 20-lb. monkey is attached to a 50-ft. chain that weighs 0.5 lb.**

per (linear) foot. The other end of the chain is attached to the

40-ft.-high ceiling of the monkey's cage. Find the amount of work the

monkey does in climbing up her chain to the ceiling.

Teacher said anwser is 1087.5 ft-lb

per (linear) foot. The other end of the chain is attached to the

40-ft.-high ceiling of the monkey's cage. Find the amount of work the

monkey does in climbing up her chain to the ceiling.

Teacher said anwser is 1087.5 ft-lb

**2. W= f(x)dx**

**3. i used w= from 0 to 40 .5x+20x...then took antiderivitve and got (1/4)x^2 + 20x=1200 ft-lb**

what do i need to do after that i know i need to do the rope from 10 to 40 but idk the formulma

what do i need to do after that i know i need to do the rope from 10 to 40 but idk the formulma