MCQMediumJEE Main 2024 · 8 April, Shift 1Properties of Definite Integrals

Mathematics Question from JEE Main 2024 · 8 April, Shift 1

The value of kNk \in \mathbb{N} for which the integral In=01(1xk)ndx,  nNI_n = \int_0^1 (1 - x^k)^n \, dx,\; n \in \mathbb{N}, satisfies 147I20=148I21147I_{20} = 148I_{21}, is:

  • A

    1010

  • B

    88

  • C

    1414

  • D

    77

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