4.1. Find the length of the following paths: (a) y(t) = 3tti, -1 0, 1(0) = -4 + i, and Y(1) = 6 + 2i. (f) f(z) = sin(z) and y is some piecewise smooth path from i to T.4.11. Let I(k) := 27 for eikt dt. (a) Show that I(0) = 1. (b) Show that I(k) = 0 if k is a nonzero integer. CHAPTER 4. INTEGRATION (c) What is I()