1)Consider a 20-foot chain that weighs 6 pounds per foot hanging from a winch 20 feet above ground level. Find the work done by the winch in winding up the entire chain. Sketch a diagram to illustrate the situation. Mark y and Ay. Express D(delta)W, the work needed to lift the tiny piece of chain of length D(delta)y at height y. Set up the definite integral for the total work done in winding up the whole chain. And evaluate the integral.

2). Find the arc length of the graph of the function x =1/y +y^3 from y = 1 to y = 3. Set up the integral and you don't need to evaluate it