Practicing Success
$\int_0^{1.5}[x]dx$, where [x] denotes the greatest integer function $≤x$, is equal to : |
$\frac{1}{4}$ $\frac{1}{2}$ 1 0 |
$\frac{1}{2}$ |
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 |