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JEE MAIN 2026
02-04-2026-S1
Question
\text { Let }[\cdot] \text { denote the greatest integer function. Then the value of } \int_0^3\left(\frac{\mathrm{e}^x+\mathrm{e}^{-x}}{[x]!}\right) \mathrm{d} x
Select the correct option:
A
$e^2+e^3-\frac{1}{e^2}-\frac{1}{e^3}$
B
$\frac{1}{2}\left(\mathrm{e}^2+\mathrm{e}^3-\frac{1}{\mathrm{e}^2}-\frac{1}{\mathrm{e}^3}\right)$
C
$e^2+e^3-\frac{1}{2 e^2}-\frac{1}{2 e^3}$
D
$\frac{1}{2}\left(e^2+e^3\right)-\frac{1}{e^2}-\frac{1}{e^3}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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