Set Up an Integral That Represents the Length of the Curve

Multiple Choice

Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places. $x = t - 2 \sin t , \quad y = t - 2 \cos t , \quad 0 \leq t \leq 4 \pi$

A) $28.7298$
B) $26.7298$
C) $25.7298$
D) $24.7298$
E) $27.7298$