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int (1)/((x^(2)-1)(x^(2)+2))dx=...

`int (1)/((x^(2)-1)(x^(2)+2))dx=`

A

`(1)/(3)[(1)/(2)log|(x+1)/(x-1)|-"Tan"^(-1)(x)/(sqrt(2))]+c`

B

`(1)/(3)[(1)/(2)log|(x-1)/(x+1)|+(1)/(sqrt(2))"Tan"^(-1)(x)/(sqrt(2))]+c`

C

`(1)/(3)[(1)/(2)log|(x-1)/(x+1)|-(1)/(sqrt(2))"Tan"^(-1)(x)/(sqrt(2))]+c`

D

`(1)/(3)[(1)/(3)log|(x-1)/(x+1)|-(1)/(2sqrt(2))"Tan"^(-1)(x)/(sqrt(2))]+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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