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PUCET (Punjab) Beta Function — practice questions

Explore 1 free Beta Function questions in PUCET (Punjab) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Beta Function questions and exercises with answers

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$\displaystyle\int_0^1 x^2(1-x)^3\, dx = ?$ (Beta function)Read the answer and worked solution →

Worked practice questions

$\displaystyle\int_0^1 x^2(1-x)^3\, dx = ?$ (Beta function)

  1. $1/60$
  2. $1/12$
  3. $1/24$
  4. $1/720$
Show answer and solution

Correct answer: A. $1/60$

$B(m, n) = \int_0^1 x^{m-1}(1-x)^{n-1}dx = (m-1)!(n-1)!/(m+n-1)!$. Here $m = 3$, $n = 4$: $B(3,4) = 2! \cdot 3! / 6! = 12/720 = 1/60$.

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