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int (x-1)/((x+1)sqrt(x^(3)+x^(2)+x))dx, ...

`int (x-1)/((x+1)sqrt(x^(3)+x^(2)+x))dx, x gt 0` is equal to-

A

`2 tan^(-1) sqrt(x+(1)/(x)+1)+c`

B

`2 tan^(-1) (x+1+(1)/(x))+c`

C

`2 sec^(-1) sqrt(x+(1)/(x)+2)+c`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, C
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