Question:

Evaluate (x²)/(x²-1)dx.

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Use partial fractions after algebraic division.
Updated On: Mar 18, 2026
  • x-\frac12ln|(x-1)/(x+1)|+C
  • x+\frac12ln|(x+1)/(x-1)|+C
  • x+\frac12ln|(x-1)/(x+1)|+C
  • None of these
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The Correct Option is C

Solution and Explanation


Step 1: Division.
(x²)/(x²-1)=1+(1)/(x²-1)
Step 2: Integrate.
dx+(1)/(x²-1)dx
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