Consider the curve y^3 = x^2. (a) Sketch the curve. (Do this on paper. Your instructor may ask you to turn in this graph.) (b) Set up two integrals for the arc length from (0, 0) to (1, 1). Observe that one of these is an improper integral. (c) Evaluate the integrals from part (b). . (d) Find the length of this curve from (-8, 4) to (27, 9).
