Repeat Exercise 35 for the curve

y = x + sin x    0 ≤ x ≤ 2π

Data From Exercise 35:

(a) Graph the curve

(b) Compute the lengths of approximating polygonal paths with n = 1, 2, and 4 segments. (Divide the interval into equal subintervals.) Illustrate by sketching the curve and these paths (as in Figure 6).

(c) Set up an integral for the length of the curve.

(d) Compute the length of the curve to four decimal places. Compare with the approximations in part (b).

Transcribed Image Text:

y = x4 - x, 0