निम्नलिखित समाकलनो का मान ज्ञात कीजिएः- `int_(2)^(3)(dx)/(x^(2)-1)dx`

Explanation

`underset(2)overset(3)int(dx)/(x^(2)-1)dx`
`underset(2)overset(3)int (dx)/(x^(2)-1)^(2)dx=[1/log|(x-1)/(x+1)|]_(2)^(3)`
`=1/2 log|(3-1)/(3+1)|-1/2log|(2-1)/(2+1)|`
`=1/2log((1)/(2))-1/2log((1)/(3))`
`=1/2log((1//2)/(1//3))=1/2log((3)/(2))`