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evaluate x x 1 dx
Question:
Evaluate (x²)/(x²-1)dx.
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Use partial fractions after algebraic division.
BITSAT - 2011
BITSAT
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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Verified By Collegedunia
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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