The value of ∫ from π/2 to... | JEE Main 2026 22 Jan Shift 1

JEE MAIN_2026_

220126_S1

Question

The value of $\int_{\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{1}{[x]+4}\right) d x$, where $[\cdot]$ denotes the greatest integer function, is

Select the correct option:

$\frac{1}{60}(21 \pi-1)$

$\frac{1}{60}(\pi-7)$

$\frac{7}{60}(3 \pi-1)$

$\frac{7}{60}(\pi-3)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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