Consider the curve segments: 1 S1: y = x from x = to x = 3 and %3D 3 1 S2: y = Va from x =to x = 9. Set up integrals that give the arc lengths of the curve segments by integrating with respect to y. The length of the first segment is L = 1 1+dy and the length of the second segment is L2 = / V1+ 4y²dy 3 1 The length of the first segment is LI / V1 + 4y°dy and the length of the second segment is L2 1 + -dy 2y 3 The length of the first segment is LI I + 2ydy and the length of the second segment is L2 dy. 1 The length of the first segment is L = -dy and the length of the second segment is L2 = / V1+ 4y°dy 4y 9. The length of the first segment is L = I + 2ydy and the length of the second segment is L2 = dy.

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