Evaluate the integral: ∫−0.52.52⌊x⌋ dx\int_{-0.5}^{2.5}2^{\lfloor x\rfloor}\,dx∫−0.52.52⌊x⌋dx where ⌊x⌋\lfloor x\rfloor⌊x⌋ is the floor of xxx. A555B134\frac{13}{4}413C14\frac1441D152\frac{15}{2}215E214\frac{21}{4}421