Posted by seth on .
find the work done in winding up a 175 ft cable that weighs 4.00 lb/ft?

calculus 
Steve,
Assuming the whole cable is just hanging there, the work required to raise it up is
∫(175x)(4dx)[0,175]
= 4(175x  .5x^2)[0,175]
= 700x  2x^2[0,175]
= [700*175  2*175^2]  [00]
= 61250