$\int_0^{1.5}[x]dx$, where [x] denotes the greatest integer function $≤x$, is equal to :
Answer & explanation
Correct answer: option 2
Graph of greatest integer function
$\int_0^{1.5}[x]dx$ → area under curve
from x = 0 to x = 1
area = 0
form 1 to 1.5
area = 0.5 × 1 = 0.5
so, total area = 0.5 sq. units