$\int\limits_0^{1.5} [x]dx$, where [x] denotes the greatest integer function ≤ x, is equal to :
Answer & explanation
Correct answer: option 2
graph of greatest integer function
$\int\limits_0^{1.5} [x]dx$ → area under curve
from x = 0 to x = 1
Area = 0
from 1 to 1.5
Area = 0.5 × 1 = 0.5
So total area
= 0.5 sq. units