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MCQMediumJEE Main 2023 · 13 April, Shift 1Definite Integrals

Mathematics Question from JEE Main 2023 · 13 April, Shift 1

Evaluate:

∫0∞6e3x+6e2x+11ex+6 dx\int_0^{\infty} \frac{6}{e^{3x}+6e^{2x}+11e^{x}+6}\,dx
  • A

    log⁡e(3227)\log_e \left( \frac{32}{27} \right)

  • B

    log⁡e(25681)\log_e \left( \frac{256}{81} \right)

  • C

    log⁡e(51281)\log_e \left( \frac{512}{81} \right)

  • D

    log⁡e(6427)\log_e \left( \frac{64}{27} \right)

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