Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

$\int\limits_0^{1.5} [x]dx$, where [x] denotes the greatest integer function ≤ x, is equal to :

Options:

$\frac{1}{4}$

$\frac{1}{2}$

1

0

Correct Answer:

$\frac{1}{2}$

Explanation:

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