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MCQMediumJEE Main 2026 · 28 January, Shift 2Definite Integrals

Mathematics Question from JEE Main 2026 · 28 January, Shift 2

Let [ ⋅ ][\,\cdot\,] denote the greatest integer function. Then ∫−π/2π/212(3+[x])3+[sin⁡x]+[cos⁡x] dx\int_{-\pi/2}^{\pi/2} \frac{12(3+[x])}{3+[\sin x]+[\cos x]}\,dx is equal to:

  • A

    13π+113\pi+1

  • B

    12π+512\pi+5

  • C

    11π+211\pi+2

  • D

    15π+415\pi+4

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