Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Definite Integration

Question:

The value of the integral $\int\limits_0^{0.9}[x-2[x]] d x$, where [.] denotes the greatest integer function, is

Options:

0.9

0

1.8

-0.9

Correct Answer:

0

Explanation:

$\int\limits_0^{0.9}[x-2[x]] d x$

$=\int\limits_0^{0.9}[x-2 \times 0] d x=\int\limits_0^{0.9}[x] d x=\int\limits_0^{0.9} 0 d x=0$