If [x] Denotes the Greatest..... | JEE Main 2021 | Definite

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JEE MAIN 2021

20-07-2021 S2

Question

If $[x]$ denotes the greatest integer less than or equal to $x$, then the value of the integral $\int_{-\pi / 2}^{\pi / 2}[[\mathrm{x}]-\sin \mathrm{x}] \mathrm{dx}$ is equal to :

Select the correct option:

A

$-\pi$

B

$\pi$

C

$0$

D

1

✓ Correct! Well done.

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Solution

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