If [x] is the greatest integer ≤ x... | Definite Integration | JEE Main 2021

JEE Main 2021

31-08-2021 S1

Question

If $[x]$ is the greatest integer $\leq x$, then $\pi^2 \int_0^2\left(\sin \frac{\pi x}{2}\right)(x-[x]) \quad d x$ is equal to :

Select the correct option:

A

$2(\pi-1)$

B

$4(\pi-1)$

C

$4(\pi+1)$

D

$2(\pi+1)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

Start Preparing for JEE with Competishun