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

`int ((x-1)dx)/((x+1)sqrt(x^(3)+x^(2)+x))=`

A

`2 Tan^(-1)sqrt(x^(3)+x^(2))+c`

B

`2 Tan^(-1)sqrt(x^(2)+x+1)+c`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:

C

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