Evaluate ∫03⌊x⌋ dx\int_0^3\lfloor x\rfloor\,\dd x∫03⌊x⌋dx, where ⌊x⌋\lfloor x\rfloor⌊x⌋ denotes the greatest integer not exceeding xxx. A4.54.54.5B666C333D222E999