Let [.] denote the greatest integer... | Definite Integrals

JEE MAIN 2026

28-01-2026 S2

Question

Let [.] denote the greatest integer function. Then $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{12(3+[x])}{3+[\sin x]+[\cos x]}\right) \mathrm{d} x$ is equal to :

Select the correct option:

$11 \pi+2$

$12 \pi+5$

$13 \pi+1$

$15 \pi+4$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

Start Preparing for JEE with Competishun

Report Issue