$\int_0^1 x^{5 / 2}(1-x)^{3 / 2} \mathrm{~d} x=$

• A

  $\frac{5 \pi}{256}$
• Correct answer
  B

  $\frac{3 \pi}{256}$
• C

  $\frac{3 \pi}{128}$
• D

  $\frac{5 \pi}{128}$

Hence, the correct answer is option: 'B'.