The value of ∫₀¹ x(1 − x)ⁿ dx is:

PYQ UPPSC LT Grade (Assistant Teacher) 2025

The value of ∫₀¹ x(1 − x)ⁿ dx is:

  1. A.

    1/((n + 1)(n + 2))

  2. B.

    (n + 2)/(n + 1)

  3. C.

    (n + 1)/(n + 2)

  4. D.

    None of the above

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