JEE Main 2026 · Session 2 · Shift 1 · Mathematics
Question 19
Let [·] denote the greatest integer function. Then the value of ∫₀³ (eˣ + e⁻ˣ)/[x]! dx is:
- A. e² + e³ − 1/e² − 1/e³
- B. (1/2)(e² + e³ − 1/e² − 1/e³)Correct answer
- C. e² + e³ − 1/(2e²) − 1/(2e³)
- D. (1/2)(e² + e³) − 1/e² − 1/e³
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Official source
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Question paper, page 8.