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MCQMediumJEE Main 2023 · 30 January, Shift 1Definite Integrals

Mathematics Question from JEE Main 2023 · 30 January, Shift 1

If [t][t] denotes the greatest integer ≤t\leq t, then the value of 3(e−1)2e∫12x2e[x]+[x3] dx\frac{3(e-1)^2}{e} \int_{1}^{2} x^2 e^{[x] + [x^3]} \, dx is:

  • A

    e9−ee^9 - e

  • B

    e8−ee^8 - e

  • C

    e7−1e^7 - 1

  • D

    e8−1e^8 - 1

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