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underset(0)overset(1)int (x-1)/(x^(2)-1)...

`underset(0)overset(1)int (x-1)/(x^(2)-1)dx`

A

`ln (2)`

B

`ln (6)-ln (3)`

C

ln (3)-ln (6)

D

`-ln (2)`

लिखित उत्तर

Verified by Experts

The correct Answer is:
B

`underset(0)overset(1)int (x-1)/(x^(2)-1)=underset(0)overset(1) (x-1)/((x+1)(x-1))`
`underset(0)overset(1) (1)/((x+1)) dx =ln |(x+1)|_(0)^(1)=ln 2`
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