Final answer:
The area of the region given by the equation y = sin(4x) is 0.
Step-by-step explanation:
To find the area of the region given by the equation y = sin(4x), we need to integrate the function over the desired interval. Since the function y = sin(4x) oscillates between -1 and 1, we can find the area under the curve by integrating from x = 0 to x = 2π. The integral of sin(4x) over this interval is equal to 0, so the area of the region is 0.