Question

Consider the arc length of the curve y = ln x on 1<= x <= 2. a) First, set up, but do not evaluate, an integral that represents the exact arc length. b) Next, apply the u-substitution, u = 1/x, to your integral in part (a). Leave your integral in terms of u only without evaluating the integral. c) Now, apply the trigonometric substitution u = tan(theta) to your integral in part (b), and find the arc length.