Write and simplify an integral with respect to x that gives the length of the curve y=2cos4x on the interval -(π)/(3),(π)/(4). Which of the following integrals gives the length of the curve?

A) ∫[-(π)/(3),(π)/(4)] √(1+(8sin4x)2) dx
B) ∫[-(π)/(3),(π)/(4)] √(1+(8cos4x)2) dx
C) ∫[-(π)/(3),(π)/(4)] √(1+(16sin4x)2) dx
D) ∫[-(π)/(3),(π)/(4)] √(1+(16cos4x)2) dx