Section 8.1: 1. Find the exact length of the curve x = = (y2 + 2)3/2 on 1

Section 8.1 : l. Find the exact length of the curve x = (y2 + 2)3/2 on 1 y 2. 2. Consider thearc length of the curve y = Inx on 1 X 2. a) First, set up, but do not evaluate, and integral that represents the exact arc length. b) Next, apply a trigonometric substitution to compute your integral in part a). Section 8.2: . Consider the portion ofa hyperbola, y = X2 1 on X , located in the first quadrant. a) Set up, but DO NOT evaluate, the integral with respect to X that represents the surface area obtained by rotating the curve about the y-axis. b) Set up, AND evaluate, the integral with respect to y that represents the surface area obtained by rotating the curve about the y-axis. Consider the portion of the curve, X = In(2y 1) on 1 y 5. 2. a) Set up, but DO NOT evaluate, the integral with respect to X that represents the surface area obtained by rotating the curve about the x-axis. b) Set up, but DO NOT evaluate, the integral with respect to y that represents the surface area obtained by rotating the curve about the x-axis.