The value of int((x^2+1))/((x^4-x^2+1)co...

The value of `int((x^2+1))/((x^4-x^2+1)cot^(-1)x(1/x)dx` will be `I n|cot^(-1)(x-1/x)+c|` b. `-I n|cot^(-1)(x-1/x)+c|` c. `I n|cot^(-1)(x+1/x)+c|` d. `I n|tan^(-1)(x-1/x)+c|`

A

`ln|cot^(-1)(x-(1)/(x))|+c`

B

`-ln|cot^(-1)(x-(1)/(x))|+c`

C

`ln|cot^(-1)(x+(1)/(x))|+c`

D

none of these

Verified by Experts

The correct Answer is:

B

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