Solve the Problem $y = 3 \sin 2 x$ Is Given By

Multiple Choice

Solve the problem.
-The length of one arch of the curve $y = 3 \sin 2 x$ is given by
$$L = \int _ { 0 } ^ { \pi / 2 } \sqrt { 1 + 36 \cos ^ { 2 } 2 x } d x$$
Estimate $\mathrm { L }$ by the Trapezoidal Rule with $\mathrm { n } = 6$ .

A) 6.2807
B) 6.4115
C) 5.8169
D) 6.1995