The value of int(dx)/(x^(2)+x+1) is equa...

The value of `int(dx)/(x^(2)+x+1)` is equal to

`sqrt(3)/(2)tan^(-1)(2x+1)/(sqrt(3))C`

`2/sqrt(3)tan^(-1)(2x+1)/(sqrt(3))+C`

`1/sqrt(3)tan^(-1)(2x+1)/(sqrt(3))+C`

`2/sqrt(3)tan^(-1)(2x-1)/(sqrt(3))+C`

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int(dx)/(x(x^(2)+1)) is equal to

`log|x|-(1)/(2)log(x^(2)+1)+C`

`log|x|+(1)/(2)log(x^(2)+1)+C`

`-log|x|+(1)/(2)log(x^(2)+1)+C`

`(1)/(2)log|x|+log(x^(2)+1)+C`

`(1)/(n)log((x^(n))/(x^(n)+1))+C`

`log((x^(n)+1)/(x^(n)))+C`

`(1)/(n)log((x^(n)+1)/(x^(n)))+C`

`log((x^(n))/(x^(n)+1))+C`

`x^(3)+C`

`(1)/(3)tan^(-1)(x^(3))+C`

`log(1+x^(3))`

None of these