Sketch the region between the curves y = sin(x) and y = 2 - sin(x), in the interval between x = 0 and x = 2π, and calculate its area. Which of the following options represents the correct method to find the area of the region?

A) Integrating the difference between the two curves from x = 0 to x = 2π
B) Taking the absolute value of the difference between the two curves and integrating from x = 0 to x = 2π
C) Finding the difference between the maximum and minimum values of the two curves and multiplying by the length of the interval
D) Taking the average of the two curves and integrating from x = 0 to x = 2π