Find the volume of the solid generated by using the washer method when the region bounded by the curves e^((x)/(2)), e^(-(x)/(2)), x=ln2, and x=ln3 is revolved about the x-axis. Which of the following options correctly represents the volume?

A) π∫[ln2, ln3]
(e^(x/2))^2 -
(e^(-x/2))^2 dx
B) π∫[ln2, ln3]
(e^(x/2))^2 +
(e^(-x/2))^2 dx
C) π∫[ln2, ln3]
(e^(x/2))^2 dx
D) π∫[ln2, ln3]
(e^(-x/2))^2 dx