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Question: Answered & Verified by Expert
If $\int \frac{x^2}{(x-1)(x-2)(x-3)} d x=\log _e f(x)$ then $f(x)=$
MathematicsIndefinite IntegrationAP EAMCETAP EAMCET 2017 (26 Apr Shift 2)
Options:
  • A $C \frac{(x-1)(x-3)^9}{(x-2)^4}$
  • 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 $C \frac{(x-1)^3(x-2)^5}{(x-3)^4}$
Solution:
2731 Upvotes Verified Answer
The correct answer is: $C \cdot \frac{\sqrt{|x-1|} \sqrt{|x-3|^9}}{(x-2)^4}$
No solution. Refer to answer key.

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