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MCQMediumJEE Main 2024 · 8 April, Shift 2Definite Integrals

Mathematics Question from JEE Main 2024 · 8 April, Shift 2

Evaluate the following limit:

lim⁡x→π/2∫x3(π/2)3(sin⁡(2t1/3)+cos⁡(t1/3)) dt(x−π/2)2\lim_{x \to \pi/2} \frac{\int_{x^3}^{(\pi/2)^3} \left(\sin\left(2t^{1/3}\right) + \cos\left(t^{1/3}\right)\right) \, dt}{\left(x - \pi/2\right)^2}

  • A

    9π2/89\pi^2/8

  • B

    11π2/1011\pi^2/10

  • C

    3π2/23\pi^2/2

  • D

    5π2/95\pi^2/9

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