If $\int \frac{x^2}{(x-1)(x-2)(x-3)} d x=\log _e f(x)$ then $f(x)=$

• A

  $C \frac{(x-1)(x-3)^9}{(x-2)^4}$
• Correct answer
  B

  $C \cdot \frac{\sqrt{|x-1|} \sqrt{|x-3|^9}}{(x-2)^4}$
• C

  $C \frac{(x-1)^2 \cdot(x-2)^4}{(x-3)^9}$
• D

  $C \frac{(x-1)^3(x-2)^5}{(x-3)^4}$

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