Find the exact volume for the solid of revolution made from the region between the curvesy=cos2(4x)sin2(4x) and the x-axis over the interval [0,8], revolved over the x-axis.

The solution should include a graph of the region, a sketch of the Riemann Rectangle used for the integral and a sketch of the revolved shape of that rectangle to show if

using the disc/washer or shell method. Allowed to use technology to obtain

a sketch of the region, but no other technology is allowed. Show all work.